A369216 Expansion of (1/x) * Series_Reversion( x * ((1-x)^4-x) ).

1, 5, 44, 479, 5827, 75887, 1034980, 14593794, 211031650, 3112385177, 46636714566, 707983562624, 10865572966703, 168306274609798, 2627854427929448, 41314461126179272, 653481096161664690, 10391753978329136808, 166040704868503173384

Offset

0,2

Links

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

Index entries for reversions of series

Formula

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

Prog

(PARI) my(N=20, x='x+O('x^N)); Vec(serreverse(x*((1-x)^4-x))/x)
(PARI) a(n) = sum(k=0, n, binomial(n+k, k)*binomial(5*n+3*k+3, n-k))/(n+1);

Crossrefs

Cf. A151374, A249924, A369215.

Cf. A369102.

Sequence in context: A366924 A343425 A054766 * A252830 A301434 A232192

Adjacent sequences: A369213 A369214 A369215 * A369217 A369218 A369219

Keyword

nonn

Author

Seiichi Manyama, Jan 16 2024

Status

approved