A365845 Expansion of (1/x) * Series_Reversion( x*(1-x)^5/(1+x)^3 ).

1, 8, 97, 1400, 22243, 375584, 6614508, 120136984, 2234022775, 42322629960, 813939319697, 15849232257824, 311858145053076, 6191083938051840, 123852349440862504, 2494251111318893400, 50526944132627936127, 1028872756710478785560

Offset

0,2

Links

Table of n, a(n) for n=0..17.

Formula

a(n) = (1/(n+1)) * Sum_{k=0..n} binomial(5*n+k+4,k) * binomial(3*(n+1),n-k).

Prog

(PARI) a(n) = sum(k=0, n, binomial(5*n+k+4, k)*binomial(3*(n+1), n-k))/(n+1);

Crossrefs

Cf. A007297, A365842, A365843, A365844.

Sequence in context: A218451 A262777 A367493 * A292747 A083182 A302277

Adjacent sequences: A365842 A365843 A365844 * A365846 A365847 A365848

Keyword

nonn

Author

_Seiichi Manyama_, Sep 20 2023

Status

approved