%I #16 May 20 2021 04:44:26
%S 1,0,-2,117,-9634,12625,6612982405,-59596651685928,718060704631041758,
%T 93531932148176228605941,-94958916373783601251815537977,
%U 135510731474135489426391897083350463
%N a(n) = Sum_{k=0..n} (-1)^k * binomial(n^2,k^2).
%H Seiichi Manyama, <a href="/A307094/b307094.txt">Table of n, a(n) for n = 0..57</a>
%F a(n) = A307093(n^2).
%t a[n_] := Sum[(-1)^k * Binomial[n^2, k^2], {k, 0, n}]; Array[a, 12, 0] (* _Amiram Eldar_, May 20 2021 *)
%o (PARI) {a(n) = sum(k=0, n, (-1)^k*binomial(n^2, k^2))}
%Y Cf. A000290, A206849, A307093.
%K sign
%O 0,3
%A _Seiichi Manyama_, Mar 24 2019