A365188 G.f. satisfies A(x) = 1 + x*A(x)^5*(1 + x*A(x)^4).

1, 1, 6, 49, 465, 4807, 52533, 596936, 6981798, 83497115, 1016367737, 12550853210, 156845913315, 1979870172453, 25207383853375, 323325558146400, 4174108907656633, 54195445136831670, 707225283913589280, 9270735916525207605, 122020617365557674605

Offset

0,3

Links

Table of n, a(n) for n=0..20.

Formula

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

Prog

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

Crossrefs

Cf. A002295, A365184, A365185, A365186, A365187, A365189.

Cf. A243667.

Sequence in context: A055847 A371406 A365193 * A143165 A008786 A274278

Adjacent sequences: A365185 A365186 A365187 * A365189 A365190 A365191

Keyword

nonn

Author

Seiichi Manyama, Aug 25 2023

Status

approved