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A212091 Number of (w,x,y,z) with all terms in {1,...,n} and w^2=x^2+y^2+z^2.

%I A212091 #9 Jun 26 2022 09:17:21
%S A212091 0,0,0,3,3,3,6,12,12,24,24,33,36,42,48,63,63,72,84,99,99,132,141,159,
%T A212091 162,174,180,219,225,243,258,282,282,330,339,369,381,405,420,465,465,
%U A212091 492,525,558,567,627,645,681,684,732,744,804,810,846,885,930
%N A212091 Number of (w,x,y,z) with all terms in {1,...,n} and w^2=x^2+y^2+z^2.
%C A212091 Every term is divisible by 3.  For a guide to related sequences, see A211795.
%t A212091 t = Compile[{{n, _Integer}}, Module[{s = 0},
%t A212091 (Do[If[w^2 == x^2 + y^2 + z^2, s = s + 1],
%t A212091 {w, 1, #}, {x, 1, #}, {y, 1, #}, {z, 1, #}] &[n]; s)]];
%t A212091 Map[t[#] &, Range[0, 50]] (* A212091 *)
%t A212091 %/3  (* integers *)
%t A212091 (* _Peter J. C. Moses_, Apr 13 2012 *)
%Y A212091 Cf. A211795.
%Y A212091 Partial sums of A181787.
%K A212091 nonn
%O A212091 0,4
%A A212091 _Clark Kimberling_, May 02 2012