A364477 - OEIS

A364477

G.f. satisfies A(x) = 1 + x*A(x)^2 + x^2*A(x)^7.

1, 1, 3, 14, 76, 448, 2791, 18078, 120516, 821435, 5698422, 40101623, 285583775, 2054272430, 14903954415, 108932920861, 801350333186, 5928653489398, 44084056075057, 329279673851792, 2469493161891742, 18588339309502760, 140383789476473354

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OFFSET

0,3

LINKS

Table of n, a(n) for n=0..22.

FORMULA

a(n) = Sum_{k=0..floor(n/2)} binomial(2*n+3*k,k) * binomial(2*n+2*k,n-2*k) / (n+4*k+1).

PROG

(PARI) a(n) = sum(k=0, n\2, binomial(2*n+3*k, k)*binomial(2*n+2*k, n-2*k)/(n+4*k+1));

CROSSREFS

Cf. A001002, A001764, A006605, A052709, A143330, A364473.

Cf. A364476.

Sequence in context: A371785 A223026 A371434 * A364758 A353253 A198702

Adjacent sequences: A364474 A364475 A364476 * A364478 A364479 A364480

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Jul 26 2023

STATUS

approved