A365839 Expansion of (1/x) * Series_Reversion( x*(1-x)^3/(1+x)^2 ).

1, 5, 38, 345, 3454, 36786, 408848, 4687969, 55048310, 658645110, 8001060132, 98419541226, 1223430822028, 15344868505700, 193952279202660, 2467977904556145, 31589883835911846, 406463726382152142, 5254324418131556900, 68206459568715464110, 888731044203480723076

Offset

0,2

Links

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

Formula

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

Prog

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

Crossrefs

Cf. A032349, A365840, A365841.

Sequence in context: A228657 A370476 A369480 * A113207 A158266 A355380

Adjacent sequences: A365836 A365837 A365838 * A365840 A365841 A365842

Keyword

nonn

Author

Seiichi Manyama, Sep 20 2023

Status

approved