A357095 E.g.f. satisfies A(x)^A(x) = 1/(1 - x * A(x))^(log(1 - x * A(x))^2 / 6).

1, 0, 0, 1, 6, 35, 275, 2884, 35672, 494724, 7673670, 132896676, 2544253426, 53252983992, 1208888367596, 29592833903424, 777311220788320, 21808542026480120, 650880782773059840, 20590135175285212800, 688212821908314587880, 24235789570607605377680

Offset

0,5

Links

Table of n, a(n) for n=0..21.

Formula

E.g.f. satisfies A(x) * log(A(x)) = -log(1 - x * A(x))^3 / 6.

a(n) = Sum_{k=0..floor(n/3)} (3*k)! * (n-k+1)^(k-1) * |Stirling1(n,3*k)|/(6^k * k!).

Prog

(PARI) a(n) = sum(k=0, n\3, (3*k)!*(n-k+1)^(k-1)*abs(stirling(n, 3*k, 1))/(6^k*k!));

Crossrefs

Cf. A141209, A357094.

Cf. A357037.

Sequence in context: A325115 A087631 A167579 * A030446 A093989 A357037

Adjacent sequences: A357092 A357093 A357094 * A357096 A357097 A357098

Keyword

nonn

Author

Seiichi Manyama, Sep 11 2022

Status

approved