A361097 E.g.f. satisfies A(x) = exp( 1/(1 - x/A(x)^3) - 1 ).

1, 1, -3, 22, -251, 3816, -71207, 1542640, -36997431, 929097856, -22062115979, 334968255744, 13395424571725, -2177817789105152, 201597999475333329, -16622491076645341184, 1332634806870147259537, -107073894723559010304000

Offset: 0

Author

Seiichi Manyama, Mar 01 2023

Keywords

• sign

Links

• Winston de Greef, Table of n, a(n) for n = 0..359

Crossrefs

Cf. A052873, A361093, A361094, A361095, A361096.

Programs

PARI

a(n) = n!*sum(k=0, n, (-3*n+1)^(k-1)*binomial(n-1, n-k)/k!);

Formula

a(n) = n! * Sum_{k=0..n} (-3*n+1)^(k-1) * binomial(n-1,n-k)/k!.