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A293527 E.g.f.: exp(x/Product_{k>0} (1 - x^k)). 3
1, 1, 3, 19, 145, 1401, 15331, 198283, 2840769, 45744625, 807769891, 15590922051, 325339538833, 7316871562729, 175934564213955, 4508362093795771, 122558873094082561, 3522465207528093153, 106681726559176156099, 3395601487535927589235, 113287948824653903674641 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..423

FORMULA

a(0) = 1 and a(n) = (n-1)! * Sum_{k=1..n} k*A000041(k-1)*a(n-k)/(n-k)! for n > 0.

MATHEMATICA

nmax = 25; CoefficientList[Series[E^(x/QPochhammer[x, x]), {x, 0, nmax}], x] * Range[0, nmax]! (* Vaclav Kotesovec, Oct 11 2017 *)

PROG

(PARI) N=66; x='x+O('x^N); Vec(serlaplace(exp(x/prod(k=1, N, (1-x^k)))))

CROSSREFS

Cf. A000041, A293528.

Sequence in context: A058859 A291964 A095002 * A080833 A073516 A005258

Adjacent sequences:  A293524 A293525 A293526 * A293528 A293529 A293530

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Oct 11 2017

STATUS

approved

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Last modified May 26 19:44 EDT 2019. Contains 323597 sequences. (Running on oeis4.)