A365034 - OEIS

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A365034

E.g.f. satisfies A(x) = exp(x * A(x)^2 * (1 + x * A(x))^3).

1, 1, 11, 175, 4317, 142561, 5929513, 297901899, 17557448681, 1188110627137, 90804918357261, 7737033497254579, 727253150819898541, 74760871323339663489, 8344094871249960257009, 1004872166403751985971291, 129883465213311163328142417

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OFFSET

0,3

LINKS

Table of n, a(n) for n=0..16.

FORMULA

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

PROG

(PARI) a(n) = n!*sum(k=0, n, (n+k+1)^(k-1)*binomial(3*k, n-k)/k!);

CROSSREFS

Cf. A363357, A365033.

Cf. A364942.

Sequence in context: A223067 A280442 A218330 * A196664 A003729 A230388

Adjacent sequences: A365031 A365032 A365033 * A365035 A365036 A365037

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Aug 17 2023

STATUS

approved