A364630 G.f. satisfies A(x) = (1+x*A(x)^4)/(1-x)^2.

1, 3, 17, 153, 1621, 18732, 229103, 2915498, 38204497, 512027945, 6985933889, 96705749625, 1354868839933, 19175008086962, 273731258980839, 3936883123412972, 56991044183321197, 829750943505927435, 12142121554514962205, 178488780583916045949

Offset

0,2

Links

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

Formula

a(n) = Sum_{k=0..n} binomial(n+7*k+1,8*k+1) * binomial(4*k,k) / (3*k+1).

Prog

(PARI) a(n) = sum(k=0, n, binomial(n+7*k+1, 8*k+1)*binomial(4*k, k)/(3*k+1));

Crossrefs

Cf. A162477, A364629.

Sequence in context: A145081 A020562 A193161 * A318987 A353258 A208832

Adjacent sequences: A364627 A364628 A364629 * A364631 A364632 A364633

Keyword

nonn

Author

Seiichi Manyama, Jul 30 2023

Status

approved