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URL: https://oeis.org/A357094

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A357094
E.g.f. satisfies A(x)^A(x) = (1 - x * A(x))^(log(1 - x * A(x)) / 2).
1
1, 0, 1, 3, 20, 170, 1789, 22869, 342222, 5874840, 113865786, 2459446440, 58588151148, 1526055579828, 43149414029604, 1316279791377810, 43090904609439900, 1506889769163738432, 56062825134853664328, 2211097753021838716116, 92149286987928381312972
OFFSET
0,4
FORMULA
E.g.f. satisfies A(x) * log(A(x)) = log(1 - x * A(x))^2 / 2.
a(n) = Sum_{k=0..floor(n/2)} (2*k)! * (n-k+1)^(k-1) * |Stirling1(n,2*k)|/(2^k * k!).
PROG
(PARI) a(n) = sum(k=0, n\2, (2*k)!*(n-k+1)^(k-1)*abs(stirling(n, 2*k, 1))/(2^k*k!));
CROSSREFS
Cf. A357036.
Sequence in context: A145329 A051643 A213377 * A216583 A354018 A154644
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Sep 11 2022
STATUS
approved