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.
%I A354778 #5 Jun 27 2022 19:26:05 %S A354778 1,4,8,16,8,28,32,28,8,52,56,52,32,52,56,112,8,76,104,76,56,112,104, %T A354778 100,32,148,104,160,56,124,224,124,8,208,152,196,104,148,152,208,56, %U A354778 172,224,172,104,364,200,196,32,196,296,304,104,220,320,364,56,304,248,244,224,244,248,364,8,364,416,268,152,400,392,292,104,292,296,592,152,364,416,316,56,484,344,340,224 %N A354778 Number of integer quadruples (u,v,w,x) such that u^2+v^2+w^2+x^2 = n^2 and u+v+w+x = n. %C A354778 This has the most natural offset, 0, just as A000118 does. A354766 gives one-quarter of a(n) for n > 0, and A278085 counts primitive solutions. %F A354778 See A278085 and A354766 for some conjectural formulas. %Y A354778 a(n) = A354777(n^2,n). %Y A354778 Cf. A000118, A278085, A354766. %K A354778 nonn %O A354778 0,2 %A A354778 _N. J. A. Sloane_, Jun 27 2022