A364940 E.g.f. satisfies A(x) = exp( x*A(x) / (1 - x*A(x))^3 ).

1, 1, 9, 124, 2525, 68616, 2338357, 96004672, 4616135001, 254542038400, 15839013320801, 1098078537291264, 83940831427695541, 7014958697801657344, 636298582947212386125, 62261039244978489081856, 6537251350698278868150833, 733159568772947522820538368

Offset

0,3

Links

Table of n, a(n) for n=0..17.

Formula

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

Prog

(PARI) a(n) = n!*sum(k=0, n, (n+1)^(k-1)*binomial(n+2*k-1, n-k)/k!);

Crossrefs

Cf. A052873, A364939.

Sequence in context: A209504 A320529 A280896 * A138438 A320646 A241709

Adjacent sequences: A364937 A364938 A364939 * A364941 A364942 A364943

Keyword

nonn

Author

Seiichi Manyama, Aug 14 2023

Status

approved