A376160 G.f. satisfies A(x) = 1 / ((1-x)^3 - x*A(x)^3).

1, 4, 25, 260, 3205, 42966, 609567, 8999164, 136811781, 2127343669, 33675622992, 540878965522, 8792433396559, 144383416380703, 2391557494237062, 39910530610590312, 670383542665237001, 11325278943044058378, 192301381444863249559, 3280101940070399446926

Offset

0,2

Links

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

Formula

a(n) = Sum_{k=0..n} binomial(n+11*k+2,n-k) * binomial(4*k,k)/(3*k+1).

Prog

(PARI) a(n) = sum(k=0, n, binomial(n+11*k+2, n-k)*binomial(4*k, k)/(3*k+1));

Crossrefs

Cf. A002293, A349310, A364630.

Cf. A052529, A366184, A376159.

Sequence in context: A380029 A071896 A065740 * A308008 A144281 A361589

Adjacent sequences: A376157 A376158 A376159 * A376161 A376162 A376163

Keyword

nonn

Author

Seiichi Manyama, Sep 12 2024

Status

approved