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.

A236930 Number of integer solutions to a^2 + b^2 + c^2 + 5*d^2 = n.

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%I A236930 #16 Aug 07 2025 07:28:05
%S A236930 1,6,12,8,6,26,36,24,28,42,72,72,8,48,108,48,54,64,84,120,26,72,144,
%T A236930 88,84,126,216,80,24,180,156,192,92,96,288,144,42,144,240,144,168,252,
%U A236930 144,168,72,182,396,184,72,258,372,192,48,208,360,312,252,160,360,360,48
%N A236930 Number of integer solutions to a^2 + b^2 + c^2 + 5*d^2 = n.
%H A236930 Seiichi Manyama, <a href="/A236930/b236930.txt">Table of n, a(n) for n = 0..10000</a>
%F A236930 G.f.: theta_3(q)^3*theta_3(q^5), where theta_3() is the Jacobi theta function. - _Ilya Gutkovskiy_, Aug 01 2018
%p A236930 See A236924.
%t A236930 Join[{1},Table[Length[Reduce[a^2+b^2+c^2+5d^2==n,{a,b,c,d},Integers]],{n,60}]] (* _Harvey P. Dale_, Jul 02 2017 *)
%Y A236930 For number of solutions to a^2+b^2+c^2+k*d^2=n for k=1,2,3,4,5,6,7,8,12 see A000118, A236928, A236926, A236923, A236930, A236931, A236932, A236927, A236933.
%K A236930 nonn
%O A236930 0,2
%A A236930 _N. J. A. Sloane_, Feb 16 2014