OFFSET
0,2
LINKS
Alois P. Heinz, Table of n, a(n) for n = 0..252
FORMULA
a(n) = (2n)!/n! * [x^n] Sum_{j=0..n} Stirling2(n,j)*exp(x)^j.
a(n) = C(2*n,n) * Sum_{j=0..n} Stirling2(2*n,j) * j^n.
a(n) = A143396(2n,n).
MAPLE
a:= n-> binomial(2*n, n)*add(Stirling2(n, j)*j^n, j=0..n):
seq(a(n), n=0..20);
MATHEMATICA
a[0] = 1; a[n_] := Binomial[2*n, n]*Sum[StirlingS2[n, j]*j^n, {j, 0, n}]; Table[a[n], {n, 0, 20}] (* Jean-François Alcover, Feb 27 2017, translated from Maple *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Alois P. Heinz, May 27 2016
STATUS
approved