A361836 a(n) = Sum_{k=0..n} (-1)^(n-k) * binomial(n*k,n-k).

1, 1, -1, -2, 13, -29, -80, 1268, -7351, 13276, 245746, -3632793, 27451743, -63909390, -1752952501, 34899085656, -370619158447, 1779155624299, 23668687715473, -780307293795152, 12058261763444876, -107734052276914986, -180664717708949253, 30298196609011736398

Offset: 0

Author

Seiichi Manyama, Mar 26 2023

Keywords

• sign
• easy

Crossrefs

Cf. A099237, A361835.

Programs

PARI

a(n) = sum(k=0, n, (-1)^(n-k)*binomial(n*k, n-k));

Formula

a(n) = [x^n] 1/(1 - x*(1-x)^n).