## Journal of Integer Sequences

 Short Title: J. Integer Seq. Publisher: University of Waterloo, School of Computer Science, Waterloo, ON ISSN: 1530-7638/e Online: http://www.cs.uwaterloo.ca/journals/JIS/http://www.emis.de/journals/JIS/ Comments: Indexed cover-to-cover; Published electronic only as of Vol. 1 (1998). This journal is available open access.
 Documents Indexed: 1,343 Publications (since 1998) References Indexed: 357 Publications with 5,054 References.
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### Authors

 45 Barry, Paul 22 Luca, Florian 16 Shattuck, Mark A. 14 Belbachir, Hacene 12 Kimberling, Clark H. 11 De Koninck, Jean-Marie 11 Janjić, Milan 11 Prodinger, Helmut 10 Zhao, Fengzhen 9 Bordellès, Olivier 9 Griffiths, Martin 9 Mansour, Toufik 8 Broughan, Kevin A. 8 Callan, David 8 Sellers, James Allen 8 Sloane, Neil James Alexander 8 Tóth, László 8 Woan, Wen-Jin 7 Ballot, Christian 7 Hennessy, Aoife 7 Jakimczuk, Rafael 7 Kitaev, Sergey 7 Ramírez, José Luis 7 Rampersad, Narad 6 Chu, Hùng Việt 6 Farhi, Bakir 6 Flórez, Rigoberto 6 Iannucci, Douglas E. 6 Khovanova, Tanya 6 Marques, Diego 6 Mező, István 6 Müller, Tom 6 Munarini, Emanuele 6 Pandey, Ram Krishna 6 Pongsriiam, Prapanpong 6 Shevelev, Vladimir Samuil 6 Tripathi, Amitabha 6 Wituła, Roman 6 Zhai, Wenguang 5 Barbero, Stefano 5 Brent, Richard Peirce 5 Chen, Kwang-Wu 5 Coons, Michael 5 Currie, James D. 5 Doyon, Nicolas 5 Girstmair, Kurt 5 Haukkanen, Pentti 5 Merikoski, Jorma Kaarlo 5 Mihoubi, Miloud 5 Munagi, Augustine O. 5 Neto, Antônio Francisco 5 Pudwell, Lara K. 5 Quaintance, Jocelyn 5 Remmel, Jeffrey B. 5 Rinaldi, Simone 5 Shapiro, Louis W. 5 Spivey, Michael Z. 5 Szalay, László 5 Tossavainen, Timo 4 Bencherif, Farid 4 Benoumhani, Moussa 4 Boyadzhiev, Khristo N. 4 Cerruti, Umberto 4 Choudhry, Ajai 4 Cloitre, Benoit 4 Dilcher, Karl 4 Dubner, Harvey 4 Elsner, Carsten 4 Gould, Henry Wadsworth 4 Higuita, Robinson A. 4 Jones, Lenny K. 4 Kátai, Imre 4 Laohakosol, Vichian 4 Mangontarum, Mahid M. 4 Matthews, Keith R. 4 Metzger, Jerry 4 Mikić, Jovan 4 Murru, Nadir 4 Németh, László 4 Noe, Tony D. 4 Pan, Jiaqiang 4 Pergola, Elisa 4 Pita Ruiz Velasco, Claudio de Jesús 4 Roettger, Eric L. 4 Sapounakis, Aristidis 4 Sofo, Anthony 4 Sury, Balasubramanian 4 Tauraso, Roberto 4 Tsikouras, Panagiotis 4 Wagner, Carl G. 4 Williams, Hugh Cowie 4 Wong, Tony W. H. 3 Adegoke, Kunle 3 Agapito, José 3 Applegate, David L. 3 Axler, Christian 3 Balof, Barry A. 3 Birmajer, Daniel 3 Bouroubi, Sadek 3 Bravo, Jhon Jairo ...and 1,426 more Authors
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### Fields

 1,041 Number theory (11-XX) 639 Combinatorics (05-XX) 66 Linear and multilinear algebra; matrix theory (15-XX) 63 Computer science (68-XX) 61 Special functions (33-XX) 26 Group theory and generalizations (20-XX) 26 Convex and discrete geometry (52-XX) 23 Probability theory and stochastic processes (60-XX) 21 Order, lattices, ordered algebraic structures (06-XX) 18 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Functions of a complex variable (30-XX) 16 Dynamical systems and ergodic theory (37-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 14 Sequences, series, summability (40-XX) 10 Algebraic geometry (14-XX) 10 Real functions (26-XX) 10 Numerical analysis (65-XX) 9 Commutative algebra (13-XX) 9 Approximations and expansions (41-XX) 9 Geometry (51-XX) 6 General and overarching topics; collections (00-XX) 6 Information and communication theory, circuits (94-XX) 5 Field theory and polynomials (12-XX) 5 Associative rings and algebras (16-XX) 5 Nonassociative rings and algebras (17-XX) 5 Measure and integration (28-XX) 5 Difference and functional equations (39-XX) 5 Integral transforms, operational calculus (44-XX) 4 History and biography (01-XX) 4 Operations research, mathematical programming (90-XX) 3 Mathematical logic and foundations (03-XX) 3 Algebraic topology (55-XX) 2 Category theory; homological algebra (18-XX) 2 Ordinary differential equations (34-XX) 2 Biology and other natural sciences (92-XX) 1 $$K$$-theory (19-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX)

### Citations contained in zbMATH Open

795 Publications have been cited 3,009 times in 2,169 Documents Cited by Year
The Hankel transform and some of its properties. Zbl 0978.15022
Layman, John W.
2001
A simplified Binet formula for $$k$$-generalized Fibonacci numbers. Zbl 1360.11031
Dresden, Gregory P. B.; Du, Zhaohui
2014
Objects counted by the central Delannoy numbers. Zbl 1012.05008
Sulanke, Robert A.
2003
The $$r$$-Bell numbers. Zbl 1205.05017
Mező, István
2011
On some (pseudo) involutions in the Riordan group. Zbl 1101.05005
Cameron, Naiomi T.; Nkwanta, Asamoah
2005
The enumeration of simple permutations. Zbl 1065.05001
Albert, M. H.; Atkinson, M. D.; Klazar, M.
2003
Patterns in inversion sequences. II: Inversion sequences avoiding triples of relations. Zbl 1384.05008
Martinez, Megan; Savage, Carla
2018
A generalized recurrence for Bell numbers. Zbl 1231.11026
Spivey, Michael Z.
2008
Permutations with given peak set. Zbl 1295.05008
Billey, Sara; Burdzy, Krzysztof; Sagan, Bruce E.
2013
Identities involving reciprocals of binomial coefficients. Zbl 1069.11008
Sury, B.; Wang, Tianming; Zhao, Feng-Zhen
2004
New classes of harmonic number identities. Zbl 1285.05006
Sofo, Anthony
2012
Interesting series associated with central binomial coefficients, Catalan numbers and harmonic numbers. Zbl 1364.11061
Chen, Hongwei
2016
Special multi-poly-Bernoulli numbers. Zbl 1140.11310
Hamahata, Y.; Masubuchi, H.
2007
Series with central binomial coefficients, Catalan numbers, and harmonic numbers. Zbl 1291.11046
2012
On integer-sequence-based constructions of generalized Pascal triangles. Zbl 1178.11023
Barry, Paul
2006
On generalizations of the Stirling number triangles. Zbl 0954.11010
Lang, Wolfdieter
2000
A Wieferich prime search up to $$6.7 \times 10^{15}$$. Zbl 1278.11003
Dorais, François G.; Klyve, Dominic
2011
A congruence modulo 3 for partitions into distinct non-multiples of four. Zbl 1301.05028
Hirschhorn, Michael D.; Sellers, James A.
2014
Catalan numbers, the Hankel transform, and Fibonacci numbers. Zbl 1041.11014
Cvetković, Aleksandar; Rajković, Predrag; Ivković, Milos
2002
Continued fractions and transformations of integer sequences. Zbl 1201.11033
Barry, Paul
2009
Moments of generalized Motzkin paths. Zbl 1012.05013
Sulanke, Robert A.
2000
Catwalks, sandsteps and Pascal pyramids. Zbl 1064.05014
Guy, Richard K.
2000
Counting peaks at height $$k$$ in a Dyck path. Zbl 1012.05004
Mansour, Toufik
2002
A survey of gcd-sum functions. Zbl 1206.11118
Tóth, László
2010
Statistics on Dyck paths. Zbl 1101.05006
Mansour, Toufik
2006
Implications of Spivey’s Bell number formula. Zbl 1204.11054
Gould, H. W.; Quaintance, Jocelyn
2008
Convoluted convolved Fibonacci numbers. Zbl 1069.11004
Moree, Pieter
2004
Riordan arrays, orthogonal polynomials as moments, and Hankel transforms. Zbl 1213.42086
Barry, Paul
2011
Investigating geometric and exponential polynomials with Euler-Seidel matrices. Zbl 1229.11039
Dil, Ayhan; Kurt, Veli
2011
Bell and Stirling numbers for graphs. Zbl 1213.05191
Duncan, Bryce; Peele, Rhodes
2009
Periodicity of the last digits of some combinatorial sequences. Zbl 1295.05050
Mező, István
2014
The 2-adic order of the Tribonacci numbers and the equation $$T_n = m!$$. Zbl 1372.11017
Marques, Diego; Lengyel, Tamás
2014
Primes in Fibonacci $$n$$-step and Lucas $$n$$-step sequences. Zbl 1101.11008
Noe, Tony D.; Vos Post, Jonathan
2005
Unimodal rays in the ordinary and generalized Pascal triangles. Zbl 1247.11021
Belbachir, Hacène; Szalay, László
2008
Dyck paths with no peaks at height $$k$$. Zbl 0969.05002
Peart, Paul; Woan, Wen-Jin
2001
The generalized Stirling and Bell numbers revisited. Zbl 1294.05017
Mansour, Toufik; Schork, Matthias; Shattuck, Mark
2012
Multi-poly-Bernoulli numbers and finite multiple zeta values. Zbl 1353.11032
Imatomi, Kohtaro; Kaneko, Masanobu; Takeda, Erika
2014
The descent set and connectivity set of a permutation. Zbl 1101.05002
Stanley, Richard P.
2005
Combinatorial interpretations of a generalization of the Genocchi numbers. Zbl 1092.11010
Domaratzki, Michael
2004
Harmonic number identities via Euler’s transform. Zbl 1213.11054
2009
Restricted weighted integer compositions and extended binomial coefficients. Zbl 1292.05015
Eger, Steffen
2013
The $$k$$-binomial transforms and the Hankel transform. Zbl 1122.11014
Spivey, Michael Z.; Steil, Laura L.
2006
On the divisibility of generalized central trinomial coefficients. Zbl 1102.05009
Noe, Tony D.
2006
Regularity properties of the Stern enumeration of the rationals. Zbl 1204.11027
Reznick, Bruce
2008
Arithmetic and growth of periodic orbits. Zbl 1004.11013
Puri, Yash; Ward, Thomas
2001
A $$(p, q)$$-analogue of the $$r$$-Whitney-Lah numbers. Zbl 1342.05015
Ramírez, José L.; Shattuck, Mark
2016
Translated Whitney and $$r$$-Whitney numbers: a combinatorial approach. Zbl 1292.05050
2013
Generating functions via Hankel and Stieltjes matrices. Zbl 0961.15018
Peart, Paul; Woan, Wen-Jin
2000
The number of ternary words avoiding abelian cubes grows exponentially. Zbl 1101.68741
2004
Meixner-type results for Riordan arrays and associated integer sequences. Zbl 1201.42017
Barry, Paul; Hennessy, Aoife
2010
Schröder triangles, paths, and parallelogram polyominoes. Zbl 0974.05003
Pergola, Elisa; Sulanke, Robert A.
1998
Sums of products of Bernoulli numbers, including poly-Bernoulli numbers. Zbl 1238.11021
Kamano, Ken
2010
Vacca-type series for values of the generalized Euler constant function and its derivative. Zbl 1203.11087
Hessami Pilehrood, Khodabakhsh; Hessami Pilehrood, Tatiana
2010
Combinatorial interpretation of generalized Stirling numbers. Zbl 1165.05307
Lang, Wolfdieter
2009
A partition formula for Fibonacci numbers. Zbl 1163.11012
Fahr, Philipp; Ringel, Claus Michael
2008
Determinants and recurrence sequences. Zbl 1286.11017
Janjić, Milan
2012
Do the properties of an $$S$$-adic representation determine factor complexity? Zbl 1354.68214
Durand, Fabien; Leroy, Julien; Richomme, Gwenaël
2013
Integer sequences and matrices over finite fields. Zbl 1102.05006
Morrison, Kent E.
2006
The number of topologies on a finite set. Zbl 1103.11007
Benoumhani, Moussa
2006
Higher order derivatives of trigonometric functions, Stirling numbers of the second kind, and Zeon algebra. Zbl 1358.11044
Neto, Antônio Francisco
2014
A recursive relation for weighted Motzkin sequences. Zbl 1065.05012
Woan, Wen-jin
2005
A note on arithmetic progressions on elliptic curves. Zbl 1022.11026
Campbell, Garikai
2003
The number of inversions in permutations: A saddle point approach. Zbl 1024.05006
Louchard, Guy; Prodinger, Helmut
2003
An asymptotic expansion for the Bernoulli numbers of the second kind. Zbl 1229.11037
Nemes, Gergő
2011
Balls on the lawn. Zbl 0923.05004
Mallows, Colin L.; Shapiro, Lou
1999
On the sum of reciprocals of numbers satisfying a recurrence relation of order $$s$$. Zbl 1238.11012
Komatsu, Takao; Laohakosol, Vichian
2010
Linear recurrences for $$r$$-Bell polynomials. Zbl 1310.11030
Mihoubi, Miloud; Belbachir, Hacène
2014
Counting solutions of quadratic congruences in several variables revisited. Zbl 1321.11041
Tóth, László
2014
Carlitz’s identity for the Bernoulli numbers and Zeon algebra. Zbl 1378.11034
Neto, Antônio Francisco
2015
Some formulae for products of geometric polynomials with applications. Zbl 1394.11022
Kargın, Levent
2017
Fourier expansions and integral representations for Genocchi polynomials. Zbl 1228.11024
Luo, Qiu-Ming
2009
On a family of generalized Pascal triangles defined by exponential Riordan arrays. Zbl 1158.05004
Barry, Paul
2007
On Hultman numbers. Zbl 1138.05301
Doignon, Jean-Paul; Labarre, Anthony
2007
Some properties of abelian return words. Zbl 1297.68195
Rigo, M.; Salimov, P.; Vandomme, E.
2013
On the central coefficients of Riordan matrices. Zbl 1310.11032
Barry, Paul
2013
Constructing pseudo-involutions in the Riordan group. Zbl 1357.05009
Phulara, Dev; Shapiro, Louis
2017
Powers of two as sums of two Lucas numbers. Zbl 1358.11026
Bravo, Jhon J.; Luca, Florian
2014
The minimal excludant in integer partitions. Zbl 1441.11265
Andrews, George E.; Newman, David
2020
On a generalized recurrence for Bell numbers. Zbl 1204.11055
Katriel, Jacob
2008
Jacobsthal numbers and alternating sign matrices. Zbl 0961.15008
Frey, Darrin D.; Sellers, James A.
2000
Two analogues of a classical sequence. Zbl 1004.05002
Suter, Ruedi
2000
On {$$k$$}-colored Motzkin words. Zbl 1065.05011
Sapounakis, A.; Tsikouras, P.
2004
A note on arithmetic progressions on quartic elliptic curves. Zbl 1068.11039
Ulas, Maciej
2005
Eulerian polynomials as moments, via exponential Riordan arrays. Zbl 1246.11066
Barry, Paul
2011
The gcd-sum function. Zbl 1004.11005
Broughan, Kevin A.
2001
Permutations with inversions. Zbl 0988.05007
Margolius, Barbara H.
2001
Integral representations of Catalan and related numbers. Zbl 1004.11010
Penson, K. A.; Sixdeniers, J.-M.
2001
Refactorable numbers – a machine invention. Zbl 1036.11540
Colton, Simon
1999
A new solution to the equation $$\tau(p)\equiv 0\pmod p$$. Zbl 1216.11055
Lygeros, Nik; Rozier, Olivier
2010
A note on some recent results for the Bernoulli numbers of the second kind. Zbl 1381.11017
Blagouchine, Iaroslav V.
2017
A note on nested sums. Zbl 1197.05003
Butler, Steve; Karasik, Pavel
2010
Two Catalan-type Riordan arrays and their connections to the Chebyshev polynomials of the first kind. Zbl 1292.05032
Nkwanta, Asamoah; Barnes, Earl R.
2012
Incomplete Tribonacci numbers and polynomials. Zbl 1353.11025
Ramírez, José L.; Sirvent, Víctor F.
2014
A Catalan transform and related transformations on integer sequences. Zbl 1122.11007
Barry, Paul
2005
On integral points on biquadratic curves and near-multiples of squares in Lucas sequences. Zbl 1358.11141
Alekseyev, Max A.; Tengely, Szabolcs
2014
On the gcd-sum function. Zbl 1247.11124
Tanigawa, Yoshio; Zhai, Wenguang
2008
Complementary equations and Wythoff sequences. Zbl 1204.11058
Kimberling, Clark
2008
The Akiyama-Tanigawa algorithm for Bernoulli numbers. Zbl 0982.11009
Kaneko, Masanobu
2000
Partition statistics and $$q$$-Bell numbers $$(q=-1)$$. Zbl 1064.05023
Wagner, Carl G.
2004
Counting unlabelled topologies and transitive relations. Zbl 1064.05068
Brinkmann, Gunnar; McKay, Brendan D.
2005
Interesting Ramanujan-like series associated with powers of central binomial coefficients. Zbl 1487.11027
Chen, Hongwei
2022
A sequential view of self-similar measures; or, what the ghosts of Mahler and Cantor can teach us about dimension. Zbl 1460.28007
Coons, Michael; Evans, James
2021
A unified treatment of certain classes of combinatorial identities. Zbl 1460.05021
Batır, Necdet; Sofo, Anthony
2021
New combinatorial interpretations of the Fibonacci numbers squared, golden rectangle numbers, and Jacobsthal numbers using two types of tile. Zbl 1460.11022
Edwards, Kenneth; Allen, Michael A.
2021
Mex-related partition functions of Andrews and Newman. Zbl 1471.11258
Barman, Rupam; Singh, Ajit
2021
Counting prefixes of skew Dyck paths. Zbl 1473.05020
Baril, Jean-Luc; Ramírez, José L.; Simbaqueba, Lina M.
2021
Irrationality of growth constants associated with polynomial recursions. Zbl 1458.11114
Wagner, Stephan; Ziegler, Volker
2021
The generalized bi-periodic Fibonacci sequence modulo $$m$$. Zbl 1485.11021
Belbachir, Hacène; Salhi, Celia
2021
Nontrivial effective lower bounds for the least common multiple of a $$q$$-arithmetic progression. Zbl 1460.11001
Farhi, Bakir
2021
Finite binomial sum identities with harmonic numbers. Zbl 1465.05005
Batır, Necdet
2021
The abc conjecture implies that only finitely many $$s$$-Cullen numbers are repunits. Zbl 1471.11125
Grantham, Jon; Graves, Hester
2021
A golden penney game. Zbl 1466.91065
Dababneh, Issa; Elmer, Mark; McCulloch, Ryan
2021
On the least common multiple of shifted powers. Zbl 1490.11026
Sanna, Carlo
2021
Representation of integers of the form $$x^2 + my^2 - z^2$$. Zbl 1479.11061
2021
On a sequence related to the factoradic representation of an integer. Zbl 1479.11049
Sánchez Garza, Maximiliano; Treviño, Enrique
2021
The minimal excludant in integer partitions. Zbl 1441.11265
Andrews, George E.; Newman, David
2020
Parity considerations for the mex-related partition functions of Andrews and Newman. Zbl 1480.11131
da Silva, Robson; Sellers, James A.
2020
Harmonic sums via Euler’s transform: complementing the approach of Boyadzhiev. Zbl 1446.11026
Frontczak, Robert
2020
Fermat Padovan and Perrin numbers. Zbl 1446.11027
Rihane, Salah Eddine; Adegbindin, Chèfiath Awero; Togbé, Alain
2020
The Lie bracket and the arithmetic derivative. Zbl 1444.11012
Fan, Jun; Utev, Sergey
2020
The number of solutions to $$ax + by + cz = n$$ and its relation to quadratic residues. Zbl 1476.11067
Binner, Damanvir Singh
2020
On 3- and 9-regular cubic partitions. Zbl 1452.05005
Gireesh, D. S.; Shivashankar, C.; Mahadeva Naika, M. S.
2020
Symmetrized poly-Bernoulli numbers and combinatorics. Zbl 1476.11052
Matsusaka, Toshiki
2020
Run distribution over flattened partitions. Zbl 1451.05007
Nabawanda, Olivia; Rakotondrajao, Fanja; Bamunoba, Alex Samuel
2020
Fixed points in compositions and words. Zbl 1451.05005
Archibald, M.; Blecher, A.; Knopfmacher, A.
2020
The number of threshold words on $$n$$ letters grows exponentially for every $$n \geq 27$$. Zbl 1442.68188
2020
Log-concavity and LC-positivity for generalized triangles. Zbl 1480.05015
Ahmia, Moussa; Belbachir, Hacène
2020
Nontrivial effective lower bounds for the least common multiple of some quadratic sequences. Zbl 1448.11005
Bousla, Sid Ali; Farhi, Bakir
2020
Repdigits in Narayana’s cows sequence and their consequences. Zbl 1477.11031
Bravo, Jhon J.; Das, Pranabesh; Guzmán, Sergio
2020
Some combinatorics of factorial base representations. Zbl 1446.11013
Ball, Tyler; Beckford, Joanne; Dalenberg, Paul; Edgar, Tom; Rajabi, Tina
2020
A ($$p, q)$$-deformed recurrence for the Bell numbers. Zbl 1477.11043
Oussi, Lahcen
2020
Unordered factorizations with $$k$$ parts. Zbl 1471.11018
Sprittulla, Jacob
2020
Greatest common divisors of shifted Horadam sequences. Zbl 1471.11059
Chen, Kwang-Wu; Pan, Yu-Ren
2020
When the large divisors of a natural number are in arithmetic progression. Zbl 1476.11019
Chu, Hùng Việt
2020
Crossings over permutations avoiding some pairs of patterns of length three. Zbl 1442.05009
Rakotomamonjy, Paul M.; Andriantsoa, Sandrataniaina R.; Randrianarivony, Arthur
2020
On polycosecant numbers. Zbl 1476.11040
Kaneko, Masanobu; Pallewatta, Maneka; Tsumura, Hirofumi
2020
Some Toeplitz-Hessenberg determinant identities for the tetranacci numbers. Zbl 1447.15003
Goy, Taras; Shattuck, Mark
2020
A polynomial variant of perfect numbers. Zbl 1480.11007
Gallardo, Luis H.; Rahavandrainy, Olivier
2020
Leibniz-additive functions on UFD’s. Zbl 1458.11009
Murashka, Viachaslau I.; Goncharenko, Andrey D.; Goncharenko, Irina N.
2020
On the Erdős-Sloane and shifted Sloane persistence problems. Zbl 1454.11017
Bonuccelli, Gabriel; Colucci, Lucas; de Faria, Edson
2020
A summation involving the divisor and GCD functions. Zbl 1446.11182
Heyman, Randell
2020
An identity for generalized Bernoulli polynomials. Zbl 1471.11095
Chellal, Redha; Bencherif, Farid; Mehbali, Mohamed
2020
Binary recurrences for which powers of two are discriminating moduli. Zbl 1471.11086
de Clercq, Adriaan A.; Luca, Florian; Martirosyan, Lilit; Matthis, Maria; Moree, Pieter; Stoumen, Max A.; Weiß, Melvin
2020
Minimum coprime graph labelings. Zbl 1453.05116
Lee, Catherine
2020
New series identities with Cauchy, Stirling, and harmonic numbers, and Laguerre polynomials. Zbl 1465.11071
2020
New partition function recurrences. Zbl 1459.11205
da Silva, Robson; Sakai, Pedro Diniz
2020
A combinatorial classification of triangle centers on the line at infinity. Zbl 1423.05023
Kimberling, Clark
2019
Repdigits as sums of two Padovan numbers. Zbl 1423.11127
García Lomelí, Ana Cecilia; Hernández Hernández, Santos
2019
Consecutive patterns in inversion sequences. II: Avoiding patterns of relations. Zbl 1425.05008
Auli, Juan S.; Elizalde, Sergi
2019
New estimates for the $$n$$th prime number. Zbl 1418.11130
Axler, Christian
2019
Log-concavity of recursively defined polynomials. Zbl 1454.11055
Heim, Bernhard; Neuhauser, Markus
2019
Relating Fibonacci numbers to Bernoulli numbers via balancing polynomials. Zbl 1461.11033
Frontczak, Robert
2019
Distributions of statistics over pattern-avoiding permutations. Zbl 1407.05005
Bukata, Michael; Kulwicki, Ryan; Lewandowski, Nicholas; Pudwell, Lara; Roth, Jacob; Wheeland, Teresa
2019
On the problem of Pillai with tribonacci numbers and powers of 3. Zbl 1450.11008
2019
On a family of functions defined over sums of primes. Zbl 1473.11182
Axler, Christian
2019
Riordan pseudo-involutions, continued fractions and Somos-4 sequences. Zbl 1459.11033
Barry, Paul
2019
Two new identities involving the Catalan numbers and sign-reversing involutions. Zbl 1431.05020
Mikić, Jovan
2019
Prefix palindromic length of the Thue-Morse word. Zbl 1437.68146
Frid, Anna E.
2019
Reciprocal sum of palindromes. Zbl 1453.11014
Phunphayap, Phakhinkon; Pongsriiam, Prapanpong
2019
Polynomial analogues of restricted $$b$$-ary partition functions. Zbl 1440.11191
Dilcher, Karl; Ericksen, Larry
2019
Diagonal sums in the Pascal pyramid. II: Applications. Zbl 1440.11020
Belbachir, Hacène; Mehdaoui, Abdelghani; Szalay, László
2019
When sets are not sum-dominant. Zbl 1418.11018
Chu, Hùng Việt
2019
The central coefficients of a family of Pascal-like triangles and colored lattice paths. Zbl 1405.05006
Barry, Paul
2019
Arithmetic progressions in the graphs of slightly curved sequences. Zbl 1407.11018
Saito, Kota; Yoshida, Yuuya
2019
Euler’s divergent series in arithmetic progressions. Zbl 1443.11138
Ernvall-Hytönen, Anne-Maria; Matala-Aho, Tapani; Seppälä, Louna
2019
A probabilistic two-pile game. Zbl 1425.91086
Leung, Ho-Hon; Thanatipanonda, Thotsaporn &ldquo;Aek&rdquo;
2019
Fixed points of augmented generalized happy functions. II: Oases and mirages. Zbl 1462.11012
Baker Swart, Breeanne; Crook, Susan; Grundman, Helen G.; Hall-Seelig, Laura; Mei, May; Zack, Laurie
2019
Product of consecutive tribonacci numbers with only one distinct digit. Zbl 1455.11027
Bravo, Eric F.; Gómez, Carlos A.; Luca, Florian
2019
Arithmetic subderivatives: discontinuity and continuity. Zbl 1448.11008
Haukkanen, Pentti; Merikoski, Jorma K.; Tossavainen, Timo
2019
Finite test sets for morphisms that are squarefree on some of Thue’s squarefree ternary words. Zbl 1447.68011
Currie, James D.
2019
On properties of the general bow sequence. Zbl 1472.11063
Dennison, Melissa
2019
Congruent number elliptic curves related to integral solutions of $$m^2=n^2+nl+n^2$$. Zbl 1470.11152
Halbeisen, Lorenz; Hungerbühler, Norbert
2019
Nonlinear inverse relations for Bell polynomials via the Lagrange inversion formula. Zbl 1418.11040
Wang, Jin
2019
The $$\gamma$$-vectors of Pascal-like triangles defined by Riordan arrays. Zbl 1454.11059
Barry, Paul
2019
Summation of certain infinite Lucas-related series. Zbl 1459.11038
Farhi, Bakir
2019
Enumerating multiplex juggling patterns. Zbl 1407.05011
Butler, Steve; Choi, Jeongyoon; Kim, Kimyung; Seo, Kyuhyeok
2019
Some double sums involving ratios of binomial coefficients arising from urn models. Zbl 1407.05009
Stenlund, David; Wan, James G.
2019
Almost Beatty partitions. Zbl 1418.11044
Hildebrand, A. J.; Li, Xiaomin; Li, Junxian; Xie, Yun
2019
Some new restricted $$n$$-color composition functions. Zbl 1423.05010
Acosta, Jarib R.; Caicedo, Yadira; Poveda, Juan P.; Ramírez, José L.; Shattuck, Mark
2019
On Engel’s inequality for Bell numbers. Zbl 1423.05024
Alzer, Horst
2019
Patterns in inversion sequences. II: Inversion sequences avoiding triples of relations. Zbl 1384.05008
Martinez, Megan; Savage, Carla
2018
Repdigits as sums of four Fibonacci or Lucas numbers. Zbl 1453.11006
Normenyo, Benedict Vasco; Luca, Florian; Togbé, Alain
2018
Explicit formulas for the $$p$$-adic valuations of fibonomial coefficients. Zbl 1390.11041
Phunphayap, Phakhinkon; Pongsriiam, Prapanpong
2018
Spivey’s Bell number formula revisited. Zbl 1390.11056
Mangontarum, Mahid M.
2018
A generalization of the “problème des rencontres”. Zbl 1384.05046
Capparelli, Stefano; Ferrari, Margherita Maria; Munarini, Emanuele; Zagaglia Salvi, Norma
2018
Polynomials characterizing hyper $$b$$-ary representations. Zbl 1390.05010
Dilcher, Karl; Ericksen, Larry
2018
Classical and semi-classical orthogonal polynomials defined by Riordan arrays, and their moment sequences. Zbl 1390.15106
Barry, Paul; Mesinga Mwafise, Arnauld
2018
New sufficient conditions for log-balancedness, with applications to combinatorial sequences. Zbl 1393.05056
Liu, Rui-Li; Zhao, Feng-Zhen
2018
The star of David and other patterns in Hosoya polynomial triangles. Zbl 1390.11036
Flórez, Rigoberto; Higuita, Robinson A.; Mukherjee, Antara
2018
Lucasnomial Fuss-Catalan numbers and related divisibility questions. Zbl 1398.11045
Ballot, Christian
2018
Greatest common divisors of shifted Fibonacci sequences revisited. Zbl 1398.11041
Rahn, Annalena; Kreh, Martin
2018
When sets can and cannot have sum-dominant subsets. Zbl 1408.11006
Chu, Hùng Việt; McNew, Nathan; Miller, Steven J.; Xu, Victor; Zhang, Sean
2018
Generalizations of the reciprocal Fibonacci-Lucas sums of Brousseau. Zbl 1390.11031
2018
Descents in parking functions. Zbl 1384.05009
Schumacher, Paul R. F.
2018
Combinatorial identities for generalized Stirling numbers expanding $$f$$-factorial functions and the $$f$$-harmonic numbers. Zbl 1390.11051
Schmidt, Maxie D.
2018
On two new classes of $$B$$-$$q$$-bonacci polynomials. Zbl 1390.11033
Arolkar, Suchita; Valaulikar, Yeshwant Shivrai
2018
Generalization of an identity of Apostol. Zbl 1390.11044
Zekiri, Abdelmoumène; Bencherif, Farid; Boumahdi, Rachid
2018
A probabilistic take-away game. Zbl 1418.91116
Wong, Tony W. H.; Xu, Jiao
2018
Another identity for complete Bell polynomials based on Ramanujan’s congruences. Zbl 1395.05019
Leung, Ho-Hon
2018
Factored closed-form expressions for the sums of cubes of Fibonacci and Lucas numbers. Zbl 1398.11037
2018
...and 695 more Documents
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### Cited by 2,571 Authors

 36 Ramírez, José Luis 33 Mansour, Toufik 28 Komatsu, Takao 26 Luca, Florian 26 Sofo, Anthony 23 Shattuck, Mark A. 22 Belbachir, Hacene 22 Qi, Feng 17 Bravo, Jhon Jairo 17 Cheon, Gi-Sang 17 Rinaldi, Simone 16 Barry, Paul 16 Chu, Wenchang 16 Corcino, Roberto Bagsarsa 14 Gómez, Carlos Alexis 14 Kim, Dae San 14 Kim, Taekyun 13 Flórez, Rigoberto 13 Keskin, Refik 13 Mező, István 13 Shallit, Jeffrey O. 13 Yang, Shengliang 12 Goy, Taras P. 11 Harris, Pamela E. 11 Marques, Diego 11 Pinzani, Renzo 11 Shapiro, Louis W. 11 Trojovský, Pavel 10 Guo, Bai-Ni 10 Munarini, Emanuele 10 Pongsriiam, Prapanpong 10 Togbé, Alain 9 Allouche, Jean-Paul Simon 9 Baril, Jean-Luc 9 Batir, Necdet 9 Bouvel, Mathilde 9 Kim, Hana 9 Lin, Zhicong 9 Merca, Mircea 9 Rampersad, Narad 9 Sellers, James Allen 9 Simsek, Yilmaz 8 Bényi, Beáta 8 Campbell, John Maxwell 8 Corcino, Cristina Bordaje 8 Defant, Colin 8 Dilcher, Karl 8 Elizalde, Sergi 8 Mahadeva Naika, Megadahalli Sidda 8 Moree, Pieter 8 Németh, László 8 Prodinger, Helmut 8 Szalay, László 8 Tóth, László 8 Wang, Yi 7 Bagno, Eli 7 Han, Guo-Niu 7 Herrera, José L. 7 Hone, Andrew N. W. 7 Kargin, Levent 7 Kitaev, Sergey 7 Murru, Nadir 7 Nyul, Gábor 7 Rigo, Michel 7 Rihane, Salah Eddine 7 Sagan, Bruce Eli 7 Schork, Matthias 7 Sun, Zhi-Wei 7 Wituła, Roman 7 Zhu, Baoxuan 6 Ahmia, Moussa 6 Axler, Christian 6 Barbero, Stefano 6 Berthé, Valérie 6 Cerruti, Umberto 6 Ddamulira, Mahadi 6 Frontczak, Robert 6 Garcia, Ronaldo A. 6 Josuat-Vergès, Matthieu 6 Kabluchko, Zakhar A. 6 Kilic, Emrah 6 Kirgizov, Sergey 6 Kiuchi, Isao 6 Mihoubi, Miloud 6 Ochem, Pascal 6 Panda, Gopal Krishna 6 Pelantová, Edita 6 Pergola, Elisa 6 Reznik, Dan S. 6 Sanna, Carlo 6 Sapounakis, Aristidis 6 Schmidt, Maxie Dion 6 Şiar, Zafer 6 Sulanke, Robert A. 6 Tasoulas, Ioannis 6 Tenner, Bridget Eileen 6 Tripathi, Amitabha 6 Tsikouras, Panagiotis 6 Xu, Aimin 6 Yang, Lin ...and 2,471 more Authors
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### Cited in 386 Journals

 161 Journal of Integer Sequences 92 Discrete Mathematics 92 Integers 85 Journal of Number Theory 70 Linear Algebra and its Applications 62 The Electronic Journal of Combinatorics 53 The Ramanujan Journal 49 Advances in Applied Mathematics 46 European Journal of Combinatorics 44 Theoretical Computer Science 34 Discrete Applied Mathematics 33 Journal of Combinatorial Theory. Series A 33 International Journal of Number Theory 25 Rocky Mountain Journal of Mathematics 25 Applied Mathematics and Computation 18 Indagationes Mathematicae. New Series 18 Annals of Combinatorics 16 American Mathematical Monthly 16 Monatshefte für Mathematik 16 Graphs and Combinatorics 16 Mediterranean Journal of Mathematics 16 Advances in Difference Equations 15 Mathematics of Computation 15 Acta Arithmetica 15 Quaestiones Mathematicae 15 Journal of Algebraic Combinatorics 15 Advances in Applied Clifford Algebras 14 Indian Journal of Pure & Applied Mathematics 14 Boletín de la Sociedad Matemática Mexicana. Third Series 13 Journal of Mathematical Analysis and Applications 13 Journal of Statistical Planning and Inference 13 Journal of Inequalities and Applications 13 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 12 Periodica Mathematica Hungarica 12 Functiones et Approximatio. Commentarii Mathematici 12 Aequationes Mathematicae 12 The Australasian Journal of Combinatorics 12 Turkish Journal of Mathematics 12 Filomat 12 Comptes Rendus. Mathématique. Académie des Sciences, Paris 11 International Journal of Mathematics and Mathematical Sciences 11 Journal of Algebra 10 Mathematica Slovaca 10 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 10 Applicable Analysis and Discrete Mathematics 10 Research in Number Theory 9 Advances in Mathematics 9 Proceedings of the American Mathematical Society 9 Results in Mathematics 9 Transactions of the American Mathematical Society 9 SIAM Journal on Discrete Mathematics 9 Séminaire Lotharingien de Combinatoire 8 Lithuanian Mathematical Journal 8 Finite Fields and their Applications 8 Integral Transforms and Special Functions 8 Abstract and Applied Analysis 8 JP Journal of Algebra, Number Theory and Applications 8 Ars Mathematica Contemporanea 8 Journal of Classical Analysis 7 Bulletin of the Australian Mathematical Society 7 Chaos, Solitons and Fractals 7 Journal of Symbolic Computation 7 Journal de Théorie des Nombres de Bordeaux 7 Russian Journal of Mathematical Physics 7 Bulletin of the Brazilian Mathematical Society. New Series 7 Asian-European Journal of Mathematics 7 Afrika Matematika 7 Palestine Journal of Mathematics 6 Information Processing Letters 6 Journal of Approximation Theory 6 Acta Mathematica Hungarica 6 Journal of Difference Equations and Applications 6 Communications of the Korean Mathematical Society 6 Acta et Commentationes Universitatis Tartuensis de Mathematica 6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 6 Tbilisi Mathematical Journal 6 Discrete Mathematics, Algorithms and Applications 6 RAIRO. Theoretical Informatics and Applications 6 Special Matrices 6 Open Mathematics 6 AIMS Mathematics 5 Ukrainian Mathematical Journal 5 Czechoslovak Mathematical Journal 5 Semigroup Forum 5 Ergodic Theory and Dynamical Systems 5 Order 5 Designs, Codes and Cryptography 5 Taiwanese Journal of Mathematics 5 Contributions to Discrete Mathematics 5 International Journal of Combinatorics 5 Enumerative Combinatorics and Applications 4 Linear and Multilinear Algebra 4 Mathematics Magazine 4 Journal of Pure and Applied Algebra 4 Bulletin of the Korean Mathematical Society 4 Random Structures & Algorithms 4 Journal of Mathematical Sciences (New York) 4 Bulletin des Sciences Mathématiques 4 Discrete Mathematics and Theoretical Computer Science. DMTCS 4 Annales Mathematicae Silesianae ...and 286 more Journals
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### Cited in 57 Fields

 1,304 Number theory (11-XX) 1,033 Combinatorics (05-XX) 173 Computer science (68-XX) 164 Linear and multilinear algebra; matrix theory (15-XX) 139 Special functions (33-XX) 78 Dynamical systems and ergodic theory (37-XX) 69 Probability theory and stochastic processes (60-XX) 65 Group theory and generalizations (20-XX) 55 Convex and discrete geometry (52-XX) 46 Functions of a complex variable (30-XX) 45 Real functions (26-XX) 40 Numerical analysis (65-XX) 38 Order, lattices, ordered algebraic structures (06-XX) 35 Associative rings and algebras (16-XX) 29 Approximations and expansions (41-XX) 29 Harmonic analysis on Euclidean spaces (42-XX) 29 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 27 Algebraic geometry (14-XX) 26 Sequences, series, summability (40-XX) 22 Difference and functional equations (39-XX) 22 Quantum theory (81-XX) 21 Geometry (51-XX) 21 Information and communication theory, circuits (94-XX) 19 Ordinary differential equations (34-XX) 17 Integral transforms, operational calculus (44-XX) 15 Field theory and polynomials (12-XX) 15 Commutative algebra (13-XX) 15 Operations research, mathematical programming (90-XX) 14 Mathematical logic and foundations (03-XX) 13 Category theory; homological algebra (18-XX) 13 Manifolds and cell complexes (57-XX) 13 Biology and other natural sciences (92-XX) 12 Statistical mechanics, structure of matter (82-XX) 11 Nonassociative rings and algebras (17-XX) 11 Operator theory (47-XX) 10 General topology (54-XX) 10 Statistics (62-XX) 9 Functional analysis (46-XX) 8 General and overarching topics; collections (00-XX) 7 Measure and integration (28-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Algebraic topology (55-XX) 7 Mathematics education (97-XX) 6 Systems theory; control (93-XX) 5 General algebraic systems (08-XX) 5 Differential geometry (53-XX) 4 History and biography (01-XX) 4 Partial differential equations (35-XX) 3 Integral equations (45-XX) 3 Relativity and gravitational theory (83-XX) 2 Potential theory (31-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Geophysics (86-XX)