A364744 G.f. satisfies A(x) = 1 / (1 - x*(1 + x*A(x))^5).

1, 1, 6, 26, 131, 706, 3932, 22618, 133099, 797545, 4850296, 29859028, 185712831, 1165227025, 7366475715, 46877977451, 300049605259, 1930395961235, 12476394685445, 80968876247330, 527424073700966, 3447190219684125, 22599794010813360

Offset

0,3

Links

Seiichi Manyama, Table of n, a(n) for n = 0..1000

Formula

a(n) = (1/(n+1)) * Sum_{k=0..n} binomial(n+1,k) * binomial(5*k,n-k).

Prog

(PARI) a(n) = sum(k=0, n, binomial(n+1, k)*binomial(5*k, n-k))/(n+1);

Crossrefs

Cf. A001006, A161634, A364742, A364743.

Sequence in context: A046233 A140231 A339685 * A144037 A187458 A100308

Adjacent sequences: A364741 A364742 A364743 * A364745 A364746 A364747

Keyword

nonn

Author

Seiichi Manyama, Aug 05 2023

Status

approved