|
%I #5 Jun 27 2022 19:26:05
%S 1,4,8,16,8,28,32,28,8,52,56,52,32,52,56,112,8,76,104,76,56,112,104,
%T 100,32,148,104,160,56,124,224,124,8,208,152,196,104,148,152,208,56,
%U 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 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 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 See A278085 and A354766 for some conjectural formulas.
%Y a(n) = A354777(n^2,n).
%Y Cf. A000118, A278085, A354766.
%K nonn
%O 0,2
%A _N. J. A. Sloane_, Jun 27 2022
|
