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A122923 Express n as the sum of four squares, x^2+y^2+z^2+w^2, x>=y>=z>=w>=0, sequentially minimizing the value of x, y and z. a(n) is that z.

%I A122923 #2 Mar 30 2012 17:35:16
%S A122923 0,0,0,1,1,0,1,1,0,1,1,1,2,2,1,1,2,2,2,1,1,2,2,2,2,2,2,3,3,2,2,3,0,2,
%T A122923 3,3,3,2,3,2,2,3,3,3,3,3,2,3,4,4,3,3,4,2,3,2,2,4,4,3,3,4,3,3,4,3,4,4,
%U A122923 3,4,4,3,4,4,3,4,5,4,4,5,2,4,4,3,5,3,4,5,4,4,5,5,4,4,4,5,4,4,5,4,5,5,5,5,4
%N A122923 Express n as the sum of four squares, x^2+y^2+z^2+w^2, x>=y>=z>=w>=0, sequentially minimizing the value of x, y and z. a(n) is that z.
%e A122923 10 = 2^2 + 2^2 + 1^2 + 1^2, so a(10) = 1. The only representation for 11 is 3^2 + 1^2 + 1^2 + 0^2, so a(11) = 1.
%Y A122923 Cf. A122921, A122922, A122924.
%K A122923 nonn
%O A122923 0,13
%A A122923 _Franklin T. Adams-Watters_, Sep 19 2006