A357092 E.g.f. satisfies A(x)^A(x) = (1 - x * A(x))^log(1 - x * A(x)).

1, 0, 2, 6, 58, 580, 7568, 119448, 2195772, 46413792, 1106667072, 29403619080, 861570383232, 27600893313552, 959793100481616, 36006430081497120, 1449539553826089360, 62334045415459189248, 2851721291051846833152, 138299011223141244621024

Offset

0,3

Links

Table of n, a(n) for n=0..19.

Formula

E.g.f. satisfies A(x) * log(A(x)) = log(1 - x * A(x))^2.

a(n) = Sum_{k=0..floor(n/2)} (2*k)! * (n-k+1)^(k-1) * |Stirling1(n,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))/k!);

Crossrefs

Cf. A141209, A357093.

Cf. A357028.

Sequence in context: A209521 A357026 A366366 * A132525 A316198 A074167

Adjacent sequences: A357089 A357090 A357091 * A357093 A357094 A357095

Keyword

nonn

Author

Seiichi Manyama, Sep 11 2022

Status

approved