A364335 - OEIS

A364335

G.f. satisfies A(x) = (1 + x*A(x)^3) * (1 + x*A(x)^5).

1, 2, 17, 204, 2852, 43489, 701438, 11767095, 203223146, 3589167533, 64524575635, 1176860764416, 21723084076739, 405038036077647, 7617437252889030, 144328483391622298, 2752414654270742784, 52790626691557217602, 1017655117382823639414, 19706520281177438174530

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OFFSET

0,2

LINKS

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

FORMULA

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

PROG

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

CROSSREFS

Cf. A215624, A234525, A239108, A364331, A364338.

Sequence in context: A234461 A363495 A277768 * A364446 A333990 A349654

Adjacent sequences: A364332 A364333 A364334 * A364336 A364337 A364338

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Jul 18 2023

STATUS

approved