OFFSET
0,2
FORMULA
a(n) = (1/3) * Sum_{k=0..n} A001147(k+2) * Stirling2(n,k).
MATHEMATICA
nmax=17; CoefficientList[Series[1 / (3 - 2 * Exp[x])^(5/2), {x, 0, nmax}], x]*Range[0, nmax]! (* Stefano Spezia, Sep 03 2024 *)
PROG
(PARI) a001147(n) = prod(k=0, n-1, 2*k+1);
a(n) = sum(k=0, n, a001147(k+2)*stirling(n, k, 2))/3;
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Sep 03 2024
STATUS
approved