A357345 E.g.f. satisfies A(x) = -log(1 - x * exp(A(x))) * exp(3 * A(x)).

0, 1, 9, 173, 5226, 216564, 11429592, 733443990, 55447217928, 4826605609584, 475490102407200, 52299789903627408, 6353202640983827472, 844774875973448667792, 122040471544637793494760, 19034141943046836097099080, 3187643959565686909679931648

Offset

0,3

Links

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

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) * (1 - exp(-x * exp(-3*x))) ). - Seiichi Manyama, Sep 09 2024

Prog

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

Crossrefs

Cf. A006963, A357343, A357344, A375422.

Cf. A357334.

Sequence in context: A141441 A225813 A357348 * A336728 A305465 A027956

Adjacent sequences: A357342 A357343 A357344 * A357346 A357347 A357348

Keyword

nonn

Author

Seiichi Manyama, Sep 25 2022

Status

approved