A383630 Expansion of 1/( Product_{k=0..6} (1 - (7*k+1) * x) )^(1/7).

1, 22, 582, 17116, 540457, 17965662, 620869768, 22116614080, 807128297844, 30040462521784, 1136357972482216, 43571763517455888, 1689879290748884068, 66179996449115623096, 2613460738278752421648, 103950807765143954047840, 4160551692685459730727454

Offset: 0

Author

Seiichi Manyama, May 03 2025

Keywords

• nonn

Crossrefs

Cf. A383627, A383628, A383629, A383631, A383632, A383633.

Programs

PARI

my(N=20, x='x+O('x^N)); Vec(1/prod(k=0, 6, 1-(7*k+1)*x)^(1/7))

Formula

a(n) ~ 43^(n + 6/7) / (Gamma(1/7) * 84707280^(1/7) * n^(6/7)). - Vaclav Kotesovec, May 05 2025