A364734 G.f. satisfies A(x) = 1 + x*A(x) / (1 - x*A(x)^5).

1, 1, 2, 9, 48, 276, 1687, 10750, 70597, 474478, 3247844, 22563904, 158693152, 1127661358, 8083795761, 58390722901, 424562043703, 3104994695198, 22825260066996, 168564068029385, 1249985066423749, 9303815610715531, 69483859839881494, 520527161650519576

Offset

0,3

Links

Table of n, a(n) for n=0..23.

Formula

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

Prog

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

Crossrefs

Cf. A000108, A106228, A300048, A364723.

Cf. A364740.

Sequence in context: A174687 A047059 A153297 * A153390 A118341 A365133

Adjacent sequences: A364731 A364732 A364733 * A364735 A364736 A364737

Keyword

nonn

Author

Seiichi Manyama, Aug 05 2023

Status

approved