is it true that any numerical polynomial , i.e. $f(t)\in \mathbb Q[t], f(n)\in\mathbb Z\ \forall n\in\mathbb Z\ $ can be presented as Hilbert polynomial of some variety?



Can any numerical polynomial be a Hilbert polynomial of something?
[This paper](http://www.ams.org/journals/proc/2003-131-04/S0002-9939-02-06647-9/S0002-9939-02-06647-9.pdf) (Proposition 1.3) gives a necessary and sufficient condition for a polynomial to be the Hilbert polynomial of a projective scheme. 


