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A293839
E.g.f.: exp(Sum_{n>=1} A000009(n)*x^n/n).
5
1, 1, 2, 8, 38, 238, 1828, 16096, 160604, 1826684, 23018264, 316422304, 4755059848, 77084268712, 1343682876272, 25097562397952, 498130253334032, 10479084018025744, 233353674153699616, 5470193826634531456, 134766983204541259616, 3482705318091355591136
OFFSET
0,3
LINKS
FORMULA
a(0) = 1 and a(n) = (n-1)! * Sum_{k=1..n} A000009(k)*a(n-k)/(n-k)! for n > 0.
MATHEMATICA
nmax = 20; CoefficientList[Series[E^Sum[PartitionsQ[k]*x^k/k, {k, 1, nmax}], {x, 0, nmax}], x] * Range[0, nmax]! (* Vaclav Kotesovec, Oct 18 2017 *)
CROSSREFS
Cf. A215915.
Sequence in context: A307725 A308205 A191016 * A355396 A265906 A060389
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Oct 17 2017
STATUS
approved