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.

A372613 Number of solutions to x^2 + y^2 + z^2 + w^2 <= n, where x, y, z, w are positive odd integers.

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%I A372613 #11 May 11 2024 21:51:21
%S A372613 0,0,0,0,1,1,1,1,1,1,1,1,5,5,5,5,5,5,5,5,11,11,11,11,11,11,11,11,19,
%T A372613 19,19,19,19,19,19,19,32,32,32,32,32,32,32,32,44,44,44,44,44,44,44,44,
%U A372613 58,58,58,58,58,58,58,58,82,82,82,82,82,82,82,82,100,100,100,100,100,100,100,100
%N A372613 Number of solutions to x^2 + y^2 + z^2 + w^2 <= n, where x, y, z, w are positive odd integers.
%H A372613 <a href="/index/Su#ssq">Index entries for sequences related to sums of squares</a>
%t A372613 nmax = 75; CoefficientList[Series[EllipticTheta[2, 0, x^4]^4/(16 (1 - x)), {x, 0, nmax}], x]
%Y A372613 Cf. A008438, A046895, A224213, A349611, A372511, A372512.
%K A372613 nonn
%O A372613 0,13
%A A372613 _Ilya Gutkovskiy_, May 07 2024