A365844 Expansion of (1/x) * Series_Reversion( x*(1-x)^4/(1+x)^3 ).

1, 7, 74, 931, 12894, 189798, 2913980, 46140347, 748022678, 12354604274, 207148525484, 3516699607022, 60328735646620, 1044182053141612, 18212018061261600, 319771572646888811, 5647677332549552870, 100266714048150595770, 1788366334642393259292

Offset

0,2

Links

Table of n, a(n) for n=0..18.

Formula

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

Prog

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

Crossrefs

Cf. A007297, A365842, A365843, A365845.

Sequence in context: A114472 A000901 A295245 * A341330 A266305 A098118

Adjacent sequences: A365841 A365842 A365843 * A365845 A365846 A365847

Keyword

nonn

Author

Seiichi Manyama, Sep 20 2023

Status

approved