Geodesic
Polynomial points
Journal of integer sequences, Tome 10 (2007) no. 3
We determine the infinite sequences $ (a_k)$ of integers that can be generated by polynomials with integral coefficients, in the sense that for each finite initial segment of length $ n$ there is an integral polynomial $ f_n(x)$ of degree $ $ such that $ a_k=f_n(k)$ for $ k=0,1,\dots, n-1$.
Classification : 20K21, 20K25, 20K30, 13F20, 15A36
Keywords: mixed Abelian groups, Lagrange interpolation polynomials, integral polynomials, integral root basis, baer-specker group, Pascal's matrix 
@article{JIS_2007__10_3_a3,
     author = {Cornelius,  E.F. jun. and Schultz,  Phill},
     title = {Polynomial points},
     journal = {Journal of integer sequences},
     year = {2007},
     volume = {10},
     number = {3},
     zbl = {1169.11009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2007__10_3_a3/}
}
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Cornelius,  E.F. jun.; Schultz,  Phill. Polynomial points. Journal of integer sequences, Tome 10 (2007) no. 3. http://geodesic.mathdoc.fr/item/JIS_2007__10_3_a3/