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A293841 E.g.f.: exp(Sum_{n>=1} n*A000009(n)*x^n). 4
1, 1, 5, 49, 409, 4841, 66541, 1006825, 17349809, 333948529, 6997459861, 159199648961, 3918175462345, 103227624161689, 2901807752857469, 86684932131301561, 2738566218754961761, 91236821580866560865, 3196113263245038385189 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..418

FORMULA

a(0) = 1 and a(n) = (n-1)! * Sum_{k=1..n} k^2*A000009(k)*a(n-k)/(n-k)! for n > 0.

MATHEMATICA

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

CROSSREFS

Sequence in context: A242035 A093188 A218421 * A224756 A198969 A155629

Adjacent sequences:  A293838 A293839 A293840 * A293842 A293843 A293844

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Oct 17 2017

STATUS

approved

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Last modified July 9 16:50 EDT 2020. Contains 335545 sequences. (Running on oeis4.)