%I #6 Jul 05 2014 17:03:05
%S 1,5,3,3,7,5,7,0,2,1,7,9,2,6,9,3,7,2,4,1,7,6,8,4,8,7,3,6,1,8,7,8,1,6,
%T 3,2,3,6,1,8,7,8,1,6,3,2,3,6,1,8,7,8,1,6,3,2,3,6,1,8,7,8,1,6,3,2,3,6,
%U 1,8,7,8,1,6,3,2,3,6,1,8,7,8,1,6,3,2,3,6,1,8,7,8,1,6,3,2,3,6,1,1,0,1,5,7,1
%N The spiral of Champernowne read by the Northwest ray.
%F See A244677 formula section.
%e See A244677 for the spiral of David Gawen Champernowne.
%t almostNatural[n_, b_] := Block[{m = 0, d = n, i = 1, l, p}, While[m <= d, l = m; m = (b - 1) i*b^(i - 1) + l; i++]; i--; p = Mod[d - l, i]; q = Floor[(d - l)/i] + b^(i - 1); If[p != 0, IntegerDigits[q, b][[p]], Mod[q - 1, b]]]; f[n_] := 4n^2 - 8n + 5 (* see A244677 formula section *); Array[ almostNatural[ f@#, 10] &, 105]
%Y Cf. A033307, A053755, A033952, A244677-A244688, A244690-A244692.
%K nonn,easy
%O 1,2
%A _Robert G. Wilson v_, Jul 04 2014