OFFSET
0,3
COMMENTS
The n-th term of the n-th binomial transform of A138364.
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..386
N. J. A. Sloane, Transforms
FORMULA
a(n) = A292628(n,n).
a(n) ~ BesselI(1,2) * n^n. - Vaclav Kotesovec, Sep 20 2017
a(n) = [x^(n-1)] (1+n*x+x^2)^n = [x^(n+1)] (1+n*x+x^2)^n. - Seiichi Manyama, May 01 2019
MATHEMATICA
Table[n!*SeriesCoefficient[E^(n*x)*BesselI[1, 2*x], {x, 0, n}], {n, 0, 20}] (* Vaclav Kotesovec, Sep 20 2017 *)
PROG
(PARI) a(n) = polcoef((1+n*x+x^2)^n, n-1); \\ Michel Marcus, May 01 2019
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Sep 20 2017
STATUS
approved