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A055613 n!*LaguerreL(n,4,-8). 0
1, 13, 190, 3074, 54416, 1044368, 21571744, 476631520, 11208026752, 279276149888, 7346221516544, 203326649061632, 5904306166927360, 179420611556478976, 5692552187811733504 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..14.

FORMULA

E.g.f. exp(8*x/(1-x))/((1-x)^5).

a(n) ~ n^(n+9/4)*exp(-n+4*sqrt(2*n)-4)/(128*2^(1/4)) * (1 + 1027/(96*sqrt(2*n))). - Vaclav Kotesovec, Jun 22 2013

MATHEMATICA

Table[n!*LaguerreL[n, 4, -8], {n, 0, 20}] (* Vaclav Kotesovec, Jun 22 2013 *)

CROSSREFS

Sequence in context: A057801 A094736 A318595 * A123808 A103731 A331495

Adjacent sequences:  A055610 A055611 A055612 * A055614 A055615 A055616

KEYWORD

nonn

AUTHOR

Karol A. Penson, Apr 22 2002

STATUS

approved

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Last modified June 12 16:18 EDT 2021. Contains 344959 sequences. (Running on oeis4.)