A307093 a(n) = Sum_{k=0..n} (-1)^k * binomial(n,k^2).
1, 0, -1, -2, -2, 1, 10, 29, 63, 117, 191, 265, 264, -12, -1014, -3654, -9634, -21929, -45424, -87551, -158289, -267616, -415513, -563200, -561430, 12625, 2202084, 8368243, 23532027, 57848882, 131000395, 279675274, 569701663, 1114392742, 2099105261, 3805794420
Offset: 0
Keywords
Links
- Seiichi Manyama, Table of n, a(n) for n = 0..3000
Programs
-
Mathematica
a[n_] := Sum[(-1)^k * Binomial[n, k^2], {k, 0, n}]; Array[a, 36, 0] (* Amiram Eldar, May 20 2021 *) -
PARI
{a(n) = sum(k=0, sqrtint(n), (-1)^k*binomial(n, k^2))}