OFFSET
1,1
COMMENTS
Table starts
2, 3, 4, 5, 6;
12, 54, 160, 375, 756;
271, 7722, 85639, 564041, 2663506;
24950, 9318805, 641631566, 17609835599, 269462676001;
9800058, 98721672541, 69768979161580, 11798463876314995, 807203255071567008.
From Robert Israel, Jul 01 2020: (Start)
T(n,k) is the number of integer lattice points in kP where P is an (n^2)-dimensional polytope with vertices having integer coordinates. Therefore row n is an Ehrhart polynomial in k, with degree n^2 and rational coefficients. (End)
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..41
FORMULA
Empirical: rows 1 2 3 are polynomials of degree 1 4 9.
EXAMPLE
Some solutions for n=3, k=1:
0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0
1 0 0 0 1 1 0 0 1 0 0 1 0 1 1 0 1 1 0 0 2
0 0 1 0 0 1 1 2 0 0 0 0 0 1 1 0 0 2 0 0 0
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jun 30 2012
STATUS
approved