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A330149 Expansion of e.g.f. exp(-x) / (1 + log(1 - x)). 1
1, 0, 2, 7, 47, 368, 3494, 38673, 489341, 6966344, 110199090, 1917589771, 36402276107, 748629861016, 16580304397942, 393443385034069, 9958671117295737, 267824225078212336, 7626444798009902530, 229232204568273395919, 7252798333599466521575, 240948882537990850397536 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Inverse binomial transform of A007840.

LINKS

Table of n, a(n) for n=0..21.

FORMULA

a(n) = Sum_{k=0..n} (-1)^(n - k) * binomial(n,k) * A007840(k).

a(n) ~ n! * exp(n + exp(-1) - 1) / (exp(1) - 1)^(n+1). - Vaclav Kotesovec, Dec 15 2019

MATHEMATICA

nmax = 21; CoefficientList[Series[Exp[-x]/(1 + Log[1 - x]), {x, 0, nmax}], x] Range[0, nmax]!

CROSSREFS

Cf. A007840, A052841, A291979, A330150.

Sequence in context: A276649 A091117 A056854 * A117141 A305533 A125813

Adjacent sequences:  A330146 A330147 A330148 * A330150 A330151 A330152

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Dec 03 2019

STATUS

approved

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Last modified September 19 20:02 EDT 2020. Contains 337182 sequences. (Running on oeis4.)