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A099391 Expansion of e.g.f.: 1/(2-exp(exp(exp(x)-1)-1)). 1
1, 1, 5, 36, 342, 4048, 57437, 950512, 17975438, 382424397, 9039989107, 235062317196, 6667866337309, 204905200542916, 6781157167505291, 240446179599065951, 9094120016963808935, 365453749501228063845 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..17.

K. A. Penson, P. Blasiak, G. Duchamp, A. Horzela and A. I. Solomon, Hierarchical Dobinski-type relations via substitution and the moment problem [J. Phys. A 37 (2004), 3475-3487]

FORMULA

(1/2) Sum[k=0..inf, k^n/k! * Sum[r=1..inf, e^(-r)r^k/r!*Li(-r, 1/2e) ]], with Li the polylogarithm.

MATHEMATICA

With[{nn=20}, CoefficientList[Series[1/(2-Exp[Exp[Exp[x]-1]-1]), {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Apr 10 2014 *)

CROSSREFS

Cf. A000110, A083355.

Sequence in context: A277610 A261899 A109186 * A008785 A081918 A062024

Adjacent sequences:  A099388 A099389 A099390 * A099392 A099393 A099394

KEYWORD

nonn

AUTHOR

Ralf Stephan, Oct 18 2004

EXTENSIONS

Definition clarified by Harvey P. Dale, Apr 10 2014

STATUS

approved

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Last modified December 3 10:38 EST 2016. Contains 278699 sequences.