cp's OEIS Frontend

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.

A383631 Expansion of 1/( Product_{k=0..7} (1 - (8*k+1) * x) )^(1/8).

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%I A383631 #8 Aug 18 2025 04:52:17
%S A383631 1,29,1009,39005,1618849,70741469,3214527633,150606953757,
%T A383631 7231305564225,354221417305757,17641204276036657,890872808134921949,
%U A383631 45521466404971069921,2349568589682742349405,122328082368695017498321,6416984703345086646305181,338833672698752842286404737
%N A383631 Expansion of 1/( Product_{k=0..7} (1 - (8*k+1) * x) )^(1/8).
%F A383631 a(n) ~ 3^(n + 5/8) * 19^(n + 7/8) / (Gamma(1/8) * 2^(25/8) * 5^(1/8) * 7^(1/8) * n^(7/8)). - _Vaclav Kotesovec_, Aug 18 2025
%o A383631 (PARI) my(N=20, x='x+O('x^N)); Vec(1/prod(k=0, 7, 1-(8*k+1)*x)^(1/8))
%Y A383631 Cf. A383627, A383628, A383629, A383630, A383632, A383633.
%K A383631 nonn
%O A383631 0,2
%A A383631 _Seiichi Manyama_, May 03 2025