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A355762
E.g.f. satisfies log(A(x)) = (exp(x*A(x)) - 1) * A(x)^2.
4
1, 1, 8, 125, 2987, 96727, 3963841, 196769897, 11480304448, 770031502467, 58386951857583, 4938864464154469, 461111056016847137, 47101341445053180079, 5225323162578044669492, 625646891309723527419137, 80416734865584980392853799, 11044230667889978466327860347
OFFSET
0,3
FORMULA
a(n) = Sum_{k=0..n} (n+2*k+1)^(k-1) * Stirling2(n,k).
PROG
(PARI) a(n) = sum(k=0, n, (n+2*k+1)^(k-1)*stirling(n, k, 2));
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Jul 16 2022
STATUS
approved