A376040 E.g.f. satisfies A(x) = -log(1 - x / (1 - A(x))^3).

0, 1, 7, 119, 3258, 123414, 5978082, 352880562, 24573720672, 1972239280488, 179250831525720, 18197871488362752, 2041093578923498448, 250654006995798120480, 33449544716000374458000, 4819960747934844400104480, 745867334512204468875843840

Offset

0,3

Links

Table of n, a(n) for n=0..16.

Index entries for reversions of series

Formula

E.g.f.: Series_Reversion( (1 - x)^3 * (1 - exp(-x)) ).

a(n) = Sum_{k=1..n} (3*n+k-2)!/(3*n-1)! * |Stirling1(n,k)|.

Prog

(PARI) my(N=20, x='x+O('x^N)); concat(0, Vec(serlaplace(serreverse((1-x)^3*(1-exp(-x))))))
(PARI) a(n) = sum(k=1, n, (3*n+k-2)!/(3*n-1)!*abs(stirling(n, k, 1)));

Crossrefs

Cf. A376038, A376039, A376041.

Cf. A371370.

Sequence in context: A304917 A113667 A357351 * A192565 A171209 A296731

Adjacent sequences: A376037 A376038 A376039 * A376041 A376042 A376043

Keyword

nonn

Author

Seiichi Manyama, Sep 07 2024

Status

approved