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A357349
E.g.f. satisfies A(x) = log(1 + x * exp(A(x))) * exp(A(x)).
4
0, 1, 3, 23, 278, 4624, 98064, 2530142, 76931224, 2694025872, 106782582720, 4726084696992, 231030209532528, 12362764041338736, 718779255989466840, 45118706229328822680, 3041140847160686156544, 219071239142209684437504, 16796070771249534388114176
OFFSET
0,3
FORMULA
a(n) = Sum_{k=1..n} (n+k)^(k-1) * Stirling1(n,k).
E.g.f.: Series_Reversion( exp(-x) * (exp(x * exp(-x)) - 1) ). - Seiichi Manyama, Sep 10 2024
PROG
(PARI) a(n) = sum(k=1, n, (n+k)^(k-1)*stirling(n, k, 1));
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Sep 25 2022
STATUS
approved