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.

A383628 Expansion of 1/( Product_{k=0..3} (1 - (4*k+1) * x) )^(1/4).

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%I A383628 #9 Aug 18 2025 04:27:56
%S A383628 1,7,59,553,5555,58597,640789,7201383,82659891,964698805,11408855809,
%T A383628 136374495803,1644405320701,19971195162107,244004256374395,
%U A383628 2996243293813273,36950056359522771,457349452121086917,5678884294812093329,70710759962448700955,882616583068179751945
%N A383628 Expansion of 1/( Product_{k=0..3} (1 - (4*k+1) * x) )^(1/4).
%F A383628 a(n) ~ 13^(n + 3/4) / (Gamma(1/4) * 2^(7/4) * 3^(1/4) * n^(3/4)). - _Vaclav Kotesovec_, Aug 18 2025
%o A383628 (PARI) my(N=30, x='x+O('x^N)); Vec(1/prod(k=0, 3, 1-(4*k+1)*x)^(1/4))
%Y A383628 Cf. A383627, A383629, A383630, A383631, A383632, A383633.
%Y A383628 Cf. A383634.
%K A383628 nonn
%O A383628 0,2
%A A383628 _Seiichi Manyama_, May 03 2025