A376034 E.g.f. satisfies A(x) = (exp(x / (1 - A(x))^3) - 1) * (1 - A(x))^2.

0, 1, 3, 28, 429, 9136, 249315, 8300692, 326261649, 14786485336, 759129218367, 43543567874764, 2759873588979045, 191549117617410736, 14448371199973057659, 1176874833493589697604, 102951969888432809238585, 9626512744249673928398920

Offset

0,3

Links

Table of n, a(n) for n=0..17.

Index entries for reversions of series

Formula

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

E.g.f.: Series_Reversion( (1 - x)^3 * log(1 + x / (1 - x)^2) ).

Prog

(PARI) a(n) = sum(k=1, n, (3*n-k-2)!/(3*n-2*k-1)!*stirling(n, k, 2));

Crossrefs

Cf. A274265, A376035, A376036.

Sequence in context: A359917 A143636 A219532 * A319369 A340789 A210854

Adjacent sequences: A376031 A376032 A376033 * A376035 A376036 A376037

Keyword

nonn

Author

Seiichi Manyama, Sep 07 2024

Status

approved