A383629 Expansion of 1/( Product_{k=0..4} (1 - (5*k+1) * x) )^(1/5).

1, 11, 146, 2156, 34166, 569426, 9854436, 175552696, 3199485331, 59384374841, 1118636310726, 21329345218236, 410804181673996, 7978922735099756, 156074211110053016, 3071360731347145776, 60752572593061028911, 1207041376109801598421, 24073933939936470329806

Offset: 0

Author

Seiichi Manyama, May 03 2025

Keywords

• nonn

Crossrefs

Cf. A383627, A383628, A383630, A383631, A383632, A383633.

Cf. A383635.

Programs

PARI

my(N=20, x='x+O('x^N)); Vec(1/prod(k=0, 4, 1-(5*k+1)*x)^(1/5))

Formula

a(n) ~ 3^(n + 3/5) * 7^(n + 4/5) / (Gamma(1/5) * 2^(3/5) * 5^(4/5) * n^(4/5)). - Vaclav Kotesovec, Aug 18 2025