OFFSET
0,2
FORMULA
a(n) = Sum_{k=0..n} A000407(k) * Stirling2(n,k).
MATHEMATICA
nmax=16; CoefficientList[Series[1 / (5 - 4 * Exp[x])^(3/2), {x, 0, nmax}], x]*Range[0, nmax]! (* Stefano Spezia, Sep 03 2024 *)
PROG
(PARI) a000407(n) = (2*n+1)!/n!;
a(n) = sum(k=0, n, a000407(k)*stirling(n, k, 2));
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Sep 03 2024
STATUS
approved