Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Let $s_n$ be the number of words consisting of the ternary alphabet consisting of the digits 0, 1, and 2 such that no subword (or factor) is a square (a word concatenated with itself, e.g., $11$, $1212$, or $102102$). From computational evidence, $s_n$ grows exponentially at a rate of about $1.317277^n$. While known upper bounds are already relatively close to the conjectured rate, effective lor bounds are much more difficult to obtain. ,  construct a $54$-Brinkhuis $952$-triple, which leads to an improved lor bound on the number of $n$-letter ternary squarefree words: $952^{n/53} \approx 1.1381531^n$.
['Michael Sollami', 'Craig C. Douglas', 'Manfred Liebmann']
I am writing a research paper on a idea An Improved Lower Bound for $n$-Brinkhuis $k$-Triples
[{"from": "human", "value": "I am writing a research paper on a idea An Improved Lower Bound for $n$-Brinkhuis $k$-Triples"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Let $s_n$ be the number of words consisting of the ternary alphabet consisting of the digits 0, 1, and 2 such that no subword (or factor) is a square (a word concatenated with itself, e.g., $11$, $1212$, or $102102$). From computational evidence, $s_n$ grows exponentially at a rate of about $1.317277^n$. While known upper bounds are already relatively close to the conjectured rate, effective lor bounds are much more difficult to obtain. ,  construct a $54$-Brinkhuis $952$-triple, which leads to an improved lor bound on the number of $n$-letter ternary squarefree words: $952^{n/53} \\approx 1.1381531^n$."}]