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A330499 Expansion of e.g.f. Sum_{k>=1} log(1 + log(1/(1 - x))^k). 2
0, 1, 2, 13, 71, 558, 5344, 60926, 766898, 10759096, 168848256, 2947203048, 56368708824, 1165246323408, 25802649445728, 609940593443952, 15377212949988624, 412827548455415040, 11764577341464710016, 354392697960438122880, 11237993013428254071936 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 0..400

Vaclav Kotesovec, Graph - the asymptotic ratio

FORMULA

a(n) ~ n! * c / (1 - exp(-1))^n, where c = 0.478656...

MATHEMATICA

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

CROSSREFS

Cf. A007840, A330354, A330388, A330494, A330498.

Sequence in context: A264735 A289926 A188676 * A097349 A289790 A109112

Adjacent sequences:  A330496 A330497 A330498 * A330500 A330501 A330502

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Dec 16 2019

STATUS

approved

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Last modified August 8 06:27 EDT 2020. Contains 336290 sequences. (Running on oeis4.)