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A088819 Expansion of e.g.f. (1+x)^(1/(1-log(1+x))). 3
1, 1, 2, 6, 22, 100, 518, 3122, 20676, 154524, 1238952, 11030448, 103376832, 1068000024, 11407673496, 134352996744, 1603035004368, 21276244952784, 278535036773856, 4141886572833888, 58405909554175776, 973789956270781056, 14462380128843907680 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

a(34) is the first negative term.

LINKS

Georg Fischer, Table of n, a(n) for n = 0..100

FORMULA

a(n) = Sum_{k=0..n} Stirling1(n, k)*A000262(k). - Vladeta Jovovic, Nov 26 2003

MATHEMATICA

CoefficientList[Series[(1+x)^(1/(1-Log[1+x])), {x, 0, 100}], x]* Range[0, 100]! (* Georg Fischer, Feb 17 2019 *)

CROSSREFS

Row sums of A079639.

Cf. A000262.

Sequence in context: A012271 A012266 A009468 * A177478 A052517 A245119

Adjacent sequences:  A088816 A088817 A088818 * A088820 A088821 A088822

KEYWORD

sign

AUTHOR

Vladeta Jovovic, Nov 22 2003

STATUS

approved

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Last modified September 21 15:09 EDT 2019. Contains 327270 sequences. (Running on oeis4.)