A385141 E.g.f. A(x) satisfies A(x) = exp(3*x*A(-x)^(1/3)).

1, 3, 3, -36, -147, 1728, 14391, -193344, -2572263, 39702528, 744878859, -13061956608, -320684319675, 6310454624256, 192965057926335, -4214431981191168, -155017339047231951, 3722456794316931072, 160513751565607780755, -4204149732317088448512

Offset

0,2

Links

Table of n, a(n) for n=0..19.

Formula

E.g.f.: B(x)^3, where B(x) is the e.g.f. of A141369.

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

Prog

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

Crossrefs

Cf. A141369, A385140.

Cf. A360988.

Sequence in context: A213281 A303820 A206477 * A372022 A219210 A218863

Adjacent sequences: A385138 A385139 A385140 * A385142 A385143 A385144

Keyword

sign

Author

Seiichi Manyama, Jun 19 2025

Status

approved