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A275103 Hilbert curve constructed by greedy algorithm, such that each element is the smallest positive integer possible and that all rows, columns, and diagonals contain distinct numbers.

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%I A275103 #19 Aug 03 2017 08:22:59
%S A275103 1,2,3,4,2,3,1,5,4,2,5,1,2,6,5,4,3,5,1,6,7,8,9,10,6,3,4,8,7,9,8,11,2,
%T A275103 1,8,4,1,6,10,3,9,5,7,11,3,10,6,4,9,10,1,7,11,3,9,12,4,8,5,7,11,13,12,
%U A275103 6
%N A275103 Hilbert curve constructed by greedy algorithm, such that each element is the smallest positive integer possible and that all rows, columns, and diagonals contain distinct numbers.
%C A275103 The n-th cell has x-coordinates given by A059252 and y-coordinates given by A059253.
%C A275103 This idea is similar to A269526 and A274640, but for a different curve.
%H A275103 Kerry Mitchell, <a href="/A275103/b275103.txt">Table of n, a(n) for n = 0..4095</a>
%e A275103 The Hilbert curve begins:
%e A275103   1,   4,   2,   3, ...
%e A275103   2,   3,   5,   1, ...
%e A275103   5,   6,   4,   2, ...
%e A275103   4,   2,   1,   5, ...
%e A275103 ...
%Y A275103 Cf. A269526 uses antidiagonals instead of the Hilbert curve and A274640 uses a square spiral.
%K A275103 nonn
%O A275103 0,2
%A A275103 _Kerry Mitchell_, Jul 16 2016