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A355763
E.g.f. satisfies A(x)^2 * log(A(x)) = exp(x*A(x)) - 1.
2
1, 1, 0, 5, -13, 207, -1791, 28849, -438600, 8619291, -181134313, 4381744589, -115439041983, 3356162869607, -105668550658100, 3600058076291465, -131618721053773713, 5146452228945999699, -214171122214841864975, 9454288479242533668837
OFFSET
0,4
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
sign
AUTHOR
Seiichi Manyama, Jul 16 2022
STATUS
approved