OFFSET
0,2
COMMENTS
See A088956 for the definition of the hyperbinomial transform.
LINKS
Alois P. Heinz, Table of n, a(n) for n = 0..150
FORMULA
E.g.f.: exp(x) * (-LambertW(-x)/x)^5.
a(n) = Sum_{j=0..n} 5 * (n-j+5)^(n-j-1) * C(n,j).
Hyperbinomial transform of A218496.
a(n) ~ 5*exp(5+exp(-1))*n^(n-1). - Vaclav Kotesovec, Oct 18 2013
MAPLE
a:= n-> add(5*(n-j+5)^(n-j-1)*binomial(n, j), j=0..n):
seq (a(n), n=0..20);
MATHEMATICA
Table[Sum[5*(n-j+5)^(n-j-1)*Binomial[n, j], {j, 0, n}], {n, 0, 20}] (* Vaclav Kotesovec, Oct 18 2013 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Oct 30 2012
STATUS
approved