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A373873
a(n) = Sum_{k=1..n} k! * k^(n-2) * Stirling2(n,k).
3
0, 1, 3, 31, 765, 34651, 2502213, 263824891, 38248036725, 7298877611371, 1773652375115973, 534749297993098651, 195883403209280580885, 85687658454617655817291, 44120264185381411695106533, 26413555571018242181844978811
OFFSET
0,3
FORMULA
E.g.f.: Sum_{k>=1} (exp(k*x) - 1)^k / k^2.
PROG
(PARI) a(n) = sum(k=1, n, k!*k^(n-2)*stirling(n, k, 2));
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Jun 20 2024
STATUS
approved