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%I #3 Mar 30 2012 17:22:33
%S 427,1555,3763,6307,13843,16003,21547,34483,48427,54763,85507,90787,
%T 111763,103387,166147,137083,222643,211843,289963,253507,296587,
%U 319867,462883,375523,393187,546067,502483,532123,615883,590947
%N Greatest number, not divisible by 4, having exactly n partitions into three squares.
%C These are conjectured values. The Mathematica program checks numbers up to 10^6. Note that a square can be zero.
%t lim=1000; nLst=Table[0, {lim^2}]; Do[n=a^2+b^2+c^2; If[n>0 && n<lim^2, nLst[[n]]++ ], {a, 0, lim}, {b, a, Sqrt[lim^2-a^2]}, {c, b, Sqrt[lim^2-a^2-b^2]}]; Table[Last[Select[Flatten[Position[nLst, k]], Mod[ #, 4]>0&]], {k, 30}]
%Y Cf. A095809 (least number having exactly n partitions into three squares).
%K nonn
%O 1,1
%A _T. D. Noe_, Jun 07 2004
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