This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A383630 #8 May 05 2025 07:29:22
%S A383630 1,22,582,17116,540457,17965662,620869768,22116614080,807128297844,
%T A383630 30040462521784,1136357972482216,43571763517455888,
%U A383630 1689879290748884068,66179996449115623096,2613460738278752421648,103950807765143954047840,4160551692685459730727454
%N A383630 Expansion of 1/( Product_{k=0..6} (1 - (7*k+1) * x) )^(1/7).
%F A383630 a(n) ~ 43^(n + 6/7) / (Gamma(1/7) * 84707280^(1/7) * n^(6/7)). - _Vaclav Kotesovec_, May 05 2025
%o A383630 (PARI) my(N=20, x='x+O('x^N)); Vec(1/prod(k=0, 6, 1-(7*k+1)*x)^(1/7))
%Y A383630 Cf. A383627, A383628, A383629, A383631, A383632, A383633.
%K A383630 nonn
%O A383630 0,2
%A A383630 _Seiichi Manyama_, May 03 2025