A365755 Expansion of (1/x) * Series_Reversion( x*(1-x)/(1+x)^5 ).

1, 6, 52, 530, 5919, 70098, 864784, 10994490, 143042020, 1895316632, 25487708844, 346976558318, 4772478619146, 66222166440780, 925880434336320, 13030945427540170, 184467676431001644, 2624828100099166536, 37521220349342729680, 538573138719587026440

Offset: 0

Author

Seiichi Manyama, Sep 18 2023

Keywords

• nonn

Crossrefs

Cf. A000108, A006318, A107111, A263843, A365754.

Cf. A365753.

Programs

PARI

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

Formula

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