A360989 E.g.f. satisfies A(x) = exp(x / A(-x)^2).

1, 1, 5, 1, -231, 81, 55453, -40431, -30313231, 33477985, 29630916981, -43713004191, -45378051616631, 83666428734513, 100216964952070541, -221570666935625999, -301515678925659598623, 777062158771833364929, 1185517627245415533666277

Offset: 0

Author

Seiichi Manyama, Feb 27 2023

Keywords

• sign

Links

• Winston de Greef, Table of n, a(n) for n = 0..366

Crossrefs

Cf. A141369, A196198, A360987, A360988, A360990.

Programs

PARI

a(n) = sum(k=0, n, (-2*n+2*k+1)^(k-1)*(2*k)^(n-k)*binomial(n, k));

Formula

a(n) = Sum_{k=0..n} (-2*n + 2*k + 1)^(k-1) * (2*k)^(n-k) * binomial(n,k).