A375903 E.g.f. satisfies A(x) = (2 - exp(x * A(x)^(1/3)))^3.

1, -3, 9, -18, -57, 942, -4299, -33078, 786267, -4357818, -84919647, 2153185746, -9754462833, -539983739298, 13389257569005, -13826647549926, -6661768436593725, 153336015047780790, 938088731006163417, -139051687661849130654, 2787586449012275332023

Offset

0,2

Links

Table of n, a(n) for n=0..20.

Formula

E.g.f.: A(x) = ( (1/x) * Series_Reversion(x / (2 - exp(x))) )^3.

a(n) = 3 * (n+2)! * Sum_{k=0..n} (-1)^k * Stirling2(n,k)/(n-k+3)!.

Prog

(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace((serreverse(x/(2-exp(x)))/x)^3))
(PARI) a(n) = 3*(n+2)!*sum(k=0, n, (-1)^k*stirling(n, k, 2)/(n-k+3)!);

Crossrefs

Cf. A097718, A362354, A375898.

Sequence in context: A101652 A026565 A174470 * A190905 A133136 A161138

Adjacent sequences: A375900 A375901 A375902 * A375904 A375905 A375906

Keyword

sign

Author

Seiichi Manyama, Sep 02 2024

Status

approved