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.

A383632 Expansion of 1/( Product_{k=0..8} (1 - (9*k+1) * x) )^(1/9).

This page as a plain text file.
%I A383632 #8 Aug 18 2025 04:56:05
%S A383632 1,37,1639,80623,4257424,236721412,13688641144,816291120808,
%T A383632 49895692924132,3112177949225236,197407027057353724,
%U A383632 12699858803178669148,826900665838817386456,54398158759680212197576,3610650035912536155468808,241521616482786052388206408,16265890564063100473094045146
%N A383632 Expansion of 1/( Product_{k=0..8} (1 - (9*k+1) * x) )^(1/9).
%F A383632 a(n) ~ 4480^(8/9) * 73^(n + 8/9) / (40320 * Gamma(1/9) * n^(8/9)). - _Vaclav Kotesovec_, Aug 18 2025
%o A383632 (PARI) my(N=20, x='x+O('x^N)); Vec(1/prod(k=0, 8, 1-(9*k+1)*x)^(1/9))
%Y A383632 Cf. A383627, A383628, A383629, A383630, A383631, A383633.
%K A383632 nonn
%O A383632 0,2
%A A383632 _Seiichi Manyama_, May 03 2025