A307094 a(n) = Sum_{k=0..n} (-1)^k * binomial(n^2,k^2).
1, 0, -2, 117, -9634, 12625, 6612982405, -59596651685928, 718060704631041758, 93531932148176228605941, -94958916373783601251815537977, 135510731474135489426391897083350463
Offset: 0
Keywords
Links
- Seiichi Manyama, Table of n, a(n) for n = 0..57
Programs
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Mathematica
a[n_] := Sum[(-1)^k * Binomial[n^2, k^2], {k, 0, n}]; Array[a, 12, 0] (* Amiram Eldar, May 20 2021 *) -
PARI
{a(n) = sum(k=0, n, (-1)^k*binomial(n^2, k^2))}
Formula
a(n) = A307093(n^2).