A055613 n!*LaguerreL(n,4,-8).

1, 13, 190, 3074, 54416, 1044368, 21571744, 476631520, 11208026752, 279276149888, 7346221516544, 203326649061632, 5904306166927360, 179420611556478976, 5692552187811733504

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