A365841 Expansion of (1/x) * Series_Reversion( x*(1-x)^5/(1+x)^2 ).

1, 7, 75, 959, 13512, 202433, 3164018, 51010415, 842090988, 14163385916, 241843189651, 4181341506009, 73054000725300, 1287786922627590, 22876030462690500, 409093644922627407, 7358978253387945404, 133067774551068558740, 2417375777620571832476

Offset: 0

Author

Seiichi Manyama, Sep 20 2023

Keywords

• nonn

Crossrefs

Cf. A032349, A365839, A365840.

Cf. A365766.

Programs

PARI

a(n) = sum(k=0, n, binomial(5*n+k+4, k)*binomial(2*(n+1), n-k))/(n+1);

Formula

a(n) = (1/(n+1)) * Sum_{k=0..n} binomial(5*n+k+4,k) * binomial(2*(n+1),n-k).