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

0,3

Links

Seiichi Manyama, Table of n, a(n) for n = 0..57

Formula

a(n) = A307093(n^2).

Mathematica

a[n_] := Sum[(-1)^k * Binomial[n^2, k^2], {k, 0, n}]; Array[a, 12, 0] (* Amiram Eldar, May 20 2021 *)

Prog

(PARI) {a(n) = sum(k=0, n, (-1)^k*binomial(n^2, k^2))}

Crossrefs

Cf. A000290, A206849, A307093.

Sequence in context: A188977 A042681 A024243 * A379549 A147774 A013470

Adjacent sequences: A307091 A307092 A307093 * A307095 A307096 A307097

Keyword

sign

Author

Seiichi Manyama, Mar 24 2019

Status

approved