A364338 G.f. satisfies A(x) = (1 + x) * (1 + x*A(x)^5).

1, 2, 11, 105, 1140, 13555, 170637, 2235472, 30161255, 416248640, 5848462880, 83378361111, 1203100853951, 17537182300140, 257858115407535, 3819894878557990, 56958234329850060, 854192593184162160, 12875579347191388830, 194963091634569681550, 2964229359714424159370, 45234864131654311730160

Offset

0,2

Links

Seiichi Manyama, Table of n, a(n) for n = 0..827

Formula

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

Prog

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

Crossrefs

Cf. A073157, A364336, A364337, A364339.

Cf. A215624, A234525, A239108, A364331, A364335.

Sequence in context: A343896 A111535 A268294 * A207571 A351331 A278070

Adjacent sequences: A364335 A364336 A364337 * A364339 A364340 A364341

Keyword

nonn

Author

Seiichi Manyama, Jul 19 2023

Status

approved