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.

A372512 Number of solutions to x^2 + y^2 + z^2 <= n, where x, y, z are positive odd integers.

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%I A372512 #4 May 04 2024 15:00:37
%S A372512 0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,7,7,7,7,7,7,7,7,11,11,11,11,11,
%T A372512 11,11,11,17,17,17,17,17,17,17,17,20,20,20,20,20,20,20,20,26,26,26,26,
%U A372512 26,26,26,26,35,35,35,35,35,35,35,35,38,38,38,38,38,38,38,38,45,45,45,45,45,45
%N A372512 Number of solutions to x^2 + y^2 + z^2 <= n, where x, y, z are positive odd integers.
%H A372512 <a href="/index/Su#ssq">Index entries for sequences related to sums of squares</a>
%t A372512 nmax = 80; CoefficientList[Series[EllipticTheta[2, 0, x^4]^3/(8 (1 - x)), {x, 0, nmax}], x]
%Y A372512 Cf. A000606, A008437, A085121, A117609, A211639, A349610, A372511.
%K A372512 nonn
%O A372512 0,12
%A A372512 _Ilya Gutkovskiy_, May 04 2024