A379910 E.g.f. A(x) satisfies A(x) = exp(-x*A(x)^3) + x*A(x).

1, 0, 1, -7, 93, -1531, 32053, -805659, 23747545, -803011879, 30657419361, -1304526138895, 61227806142517, -3142500604364811, 175099735351517005, -10526856054032137891, 679212922630849128753, -46816385951481961302991, 3433289231599510254603193

Offset

0,4

Links

Table of n, a(n) for n=0..18.

Formula

a(n) = -n! * Sum_{k=0..n} (-3*n+3*k-1)^(n-k-1) * binomial(3*n-2*k,k)/(n-k)!.

Prog

(PARI) a(n) = -n!*sum(k=0, n, (-3*n+3*k-1)^(n-k-1)*binomial(3*n-2*k, k)/(n-k)!);

Crossrefs

Cf. A379858, A379871, A379911.

Sequence in context: A292227 A006178 A029808 * A089915 A370939 A318697

Adjacent sequences: A379907 A379908 A379909 * A379911 A379912 A379913

Keyword

sign

Author

Seiichi Manyama, Jan 05 2025

Status

approved