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.

A039828 Largest coefficient in expansion of Product_{i=1..n} (1 + (-q)^i).

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%I A039828 #16 Feb 04 2022 11:11:37
%S A039828 1,1,1,2,3,5,8,14,23,40,69,123,221,397,722,1314,2410,4441,8215,15260,
%T A039828 28460,53222,99820,187692,353743,668273,1264854,2399207,4559828,
%U A039828 8679280,16547220,31592878,60400688,115633260,221625505,425313967
%N A039828 Largest coefficient in expansion of Product_{i=1..n} (1 + (-q)^i).
%H A039828 Seiichi Manyama, <a href="/A039828/b039828.txt">Table of n, a(n) for n = 1..1000</a>
%F A039828 a(n) ~ sqrt(3) * 2^(n + 1/2) / (sqrt(Pi) * n^(3/2)). - _Vaclav Kotesovec_, Feb 04 2022
%o A039828 (PARI) a(n) = vecmax(Vec(prod(i = 1, n, (1 + (-q)^i)))); \\ _Michel Marcus_, Aug 30 2018
%Y A039828 Cf. A025591, A039829.
%K A039828 nonn
%O A039828 1,4
%A A039828 _Olivier Gérard_