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A009199 Expansion of exp(log(1+x)^2). 1
1, 0, 2, -6, 34, -220, 1688, -14868, 147684, -1631376, 19821912, -262573080, 3764276712, -58044604176, 957653604672, -16828739439120, 313742795670288, -6183918938706048, 128463999017594016, -2804979941504113248 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..19.

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 128

FORMULA

Sum_{k=0..floor(n/2)} Stirling1(n, 2*k)*(2*k)!/k!. - Vladeta Jovovic, Sep 21 2003

MATHEMATICA

CoefficientList[Series[E^(Log[1+x]^2), {x, 0, 20}], x] * Range[0, 20]! (* Vaclav Kotesovec, Jul 02 2015 *)

CROSSREFS

Sequence in context: A003499 A253778 A018953 * A052824 A019029 A019032

Adjacent sequences:  A009196 A009197 A009198 * A009200 A009201 A009202

KEYWORD

sign,easy

AUTHOR

R. H. Hardin

EXTENSIONS

Extended with signs by Olivier Gérard, Mar 15 1997

STATUS

approved

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Last modified December 6 12:54 EST 2016. Contains 278781 sequences.