OFFSET
0,3
LINKS
Alois P. Heinz, Table of n, a(n) for n = 0..75
J.-M. Sixdeniers, K. A. Penson and A. I. Solomon, Extended Bell and Stirling Numbers From Hypergeometric Exponentiation, J. Integer Seqs. Vol. 4 (2001), #01.1.4.
FORMULA
Sum_{n>=0} a(n) * x^n / (n!)^10 = exp(Sum_{n>=1} x^n / (n!)^10). - Ilya Gutkovskiy, Jul 17 2020
MAPLE
a:= proc(n) option remember; `if`(n=0, 1, add(
binomial(n, j)^10*(n-j)*a(j), j=0..n-1)/n)
end:
seq(a(n), n=0..12);
MATHEMATICA
a[n_] := a[n] = If[n==0, 1, Sum[Binomial[n, j]^10*(n-j)*a[j], {j, 0, n-1}]/n];
Table[a[n], {n, 0, 12}] (* Jean-François Alcover, Jun 27 2022, after Alois P. Heinz *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Jul 16 2016
STATUS
approved