A357351 E.g.f. satisfies A(x) = log(1 + x * exp(A(x))) * exp(3 * A(x)).

0, 1, 7, 119, 3186, 117204, 5493672, 313159146, 21032534856, 1626654909168, 142381874412000, 13915051276560048, 1501957674420194736, 177456652252068578544, 22779601954164759020184, 3156967397734735846493880, 469790199951668305705905408

Offset

0,3

Links

Seiichi Manyama, Table of n, a(n) for n = 0..324

Index entries for reversions of series

Formula

a(n) = Sum_{k=1..n} (n+3*k)^(k-1) * Stirling1(n,k).

E.g.f.: Series_Reversion( exp(-x) * (exp(x * exp(-3*x)) - 1) ). - Seiichi Manyama, Sep 10 2024

Prog

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

Crossrefs

Cf. A357349, A357350, A357423.

Sequence in context: A268300 A304917 A113667 * A376040 A192565 A171209

Adjacent sequences: A357348 A357349 A357350 * A357352 A357353 A357354

Keyword

nonn

Author

Seiichi Manyama, Sep 25 2022

Status

approved