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A293840 E.g.f.: exp(Sum_{n>=1} A000009(n)*x^n). 10
1, 1, 3, 19, 121, 1041, 10651, 121843, 1575729, 22970881, 366805171, 6365365491, 120044573353, 2430782532049, 52677233993931, 1217023986185491, 29799465317716321, 771272544315151233, 21044341084622337379, 603173026772647474771 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..430

FORMULA

a(0) = 1 and a(n) = (n-1)! * Sum_{k=1..n} k*A000009(k)*a(n-k)/(n-k)! for n > 0.

MATHEMATICA

nmax = 20; CoefficientList[Series[E^Sum[PartitionsQ[k]*x^k, {k, 1, nmax}], {x, 0, nmax}], x] * Range[0, nmax]! (* Vaclav Kotesovec, Oct 18 2017 *)

CROSSREFS

Cf. A293839, A293841.

Cf. A058892.

Sequence in context: A163605 A294252 A294253 * A327674 A318811 A074572

Adjacent sequences:  A293837 A293838 A293839 * A293841 A293842 A293843

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Oct 17 2017

STATUS

approved

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Last modified July 9 18:08 EDT 2020. Contains 335545 sequences. (Running on oeis4.)