A370782 Expansion of 1 / ( (1 - x)*(1 + 5*x)*(1 - 25*x) )^(1/3).

1, 7, 133, 2539, 53305, 1155679, 25714333, 582045667, 13346038321, 309067047415, 7213999049845, 169466050348315, 4002188759121385, 94941811661199055, 2260887088517478925, 54017663776267303315, 1294331605116743179105, 31092684363296020670695

Offset: 0

Author

Seiichi Manyama, Mar 01 2024

Keywords

• nonn

Crossrefs

Cf. A370779.

Programs

PARI

my(N=20, x='x+O('x^N)); Vec(1/((1-x)*(1+5*x)*(1-25*x))^(1/3))

Formula

a(n) ~ 5^(2*n+1) / (Gamma(1/3) * 2^(4/3) * 3^(2/3) * n^(2/3)). - Vaclav Kotesovec, Mar 10 2024