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.

A035364 Number of partitions of n into parts 4k or 4k+3.

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%I A035364 #8 Aug 27 2015 05:50:27
%S A035364 0,0,1,1,0,1,2,2,1,2,4,4,2,5,8,7,5,10,14,12,11,19,24,22,21,33,41,37,
%T A035364 38,58,67,62,68,95,108,103,114,155,172,166,188,246,268,264,303,384,
%U A035364 413,415,477,588,630,640,737,893,948,975,1125,1333,1412,1470,1688
%N A035364 Number of partitions of n into parts 4k or 4k+3.
%F A035364 a(n) ~ exp(Pi*sqrt(n/3)) * (2/Pi)^(1/4) * Gamma(7/4) / (3 * 3^(5/8) * n^(9/8)). - _Vaclav Kotesovec_, Aug 27 2015
%t A035364 nmax = 100; Rest[CoefficientList[Series[Product[1/((1 - x^(4k+4))*(1 - x^(4k+3))), {k, 0, nmax}], {x, 0, nmax}], x]] (* _Vaclav Kotesovec_, Aug 27 2015 *)
%K A035364 nonn
%O A035364 1,7
%A A035364 _Olivier Gérard_