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A307567 Expansion of e.g.f. Product_{j>=1} 1/(1 - (-1 + Product_{k>=1} 1/(1 - x^k/k!))^j/j!). 1
1, 1, 6, 47, 475, 5857, 85582, 1442814, 27569010, 588533169, 13880832378, 358407441163, 10054835359411, 304540419456509, 9904454527313548, 344267509478109266, 12736907296570957669, 499767123093151036603, 20730741476220960428814, 906482220845570488188348, 41675291255765161672107867 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..20.

FORMULA

E.g.f.: g(g(x) - 1), where g(x) = e.g.f. of A005651.

MATHEMATICA

nmax = 20; CoefficientList[Series[Product[1/(1 - (-1 + Product[1/(1 - x^k/k!), {k, 1, nmax}])^j/j!), {j, 1, nmax}], {x, 0, nmax}], x] Range[0, nmax]!

CROSSREFS

Cf. A005651, A307568.

Sequence in context: A071878 A104256 A289211 * A332238 A192887 A321190

Adjacent sequences:  A307564 A307565 A307566 * A307568 A307569 A307570

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Apr 15 2019

STATUS

approved

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Last modified May 28 14:47 EDT 2020. Contains 334684 sequences. (Running on oeis4.)