login
A365187
G.f. satisfies A(x) = 1 + x*A(x)^5*(1 + x*A(x)^3).
6
1, 1, 6, 48, 446, 4511, 48218, 535800, 6127598, 71648868, 852668952, 10293847592, 125759270354, 1551872951050, 19314892116764, 242182938963024, 3056337851481678, 38790948190319404, 494825459824571528, 6340628082364678016, 81577931200018721464
OFFSET
0,3
FORMULA
a(n) = Sum_{k=0..n} binomial(3*n+2*k+1,k) * binomial(k,n-k)/(3*n+2*k+1).
PROG
(PARI) a(n) = sum(k=0, n, binomial(3*n+2*k+1, k)*binomial(k, n-k)/(3*n+2*k+1));
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Aug 25 2023
STATUS
approved