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Consider smallest m such that m^2 = x_1^2 + ... + x_n^2 with 0 < x_1 < ... < x_n. Sequence gives value of x_n for lexicographically least {x_1,...,x_n}.
4

%I #3 Mar 30 2012 17:29:22

%S 1,4,6,6,7,9,9,11,11,15,12,16,15,16,20,21,23,22,22,30,23,25,28,24,26,

%T 33,32,36,35,43,34,35,36,38,38,39,42,45,42,44,50,44,48,48,49,50,49,51,

%U 52,64,57,56,57,65,61,63,65,61,64,64,65,65,69,67,69,76,76,79,75,73,80,73

%N Consider smallest m such that m^2 = x_1^2 + ... + x_n^2 with 0 < x_1 < ... < x_n. Sequence gives value of x_n for lexicographically least {x_1,...,x_n}.

%Y Cf. A018935, A018936, A018937, A103411, A103413, A103414.

%K nonn

%O 1,2

%A _Ray Chandler_, Feb 04 2005