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The spiral of Champernowne read by the South-Southeast ray.
14

%I #6 Jul 05 2014 17:07:22

%S 1,1,4,8,1,1,2,4,3,4,3,7,8,8,0,1,9,6,6,1,2,7,2,2,3,2,0,3,2,9,9,4,9,9,

%T 9,5,4,1,1,6,7,7,4,7,8,5,8,9,7,6,0,6,7,1,1,1,5,8,3,1,3,4,9,5,1,5,3,0,

%U 7,1,8,2,1,9,1,0,1,2,1,2,2,0,3,4,2,5,9,4,7,2,8,8,5,0,3,1,7,6,3,3,4,6,7,6,3

%N The spiral of Champernowne read by the South-Southeast 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_] := 16n^2 - 25n + 10 (* see A244677 formula section *); Array[ almostNatural[ f@#, 10] &, 105]

%Y Cf. A033307, A143839, A033952, A244677-A244688, A244691, A244692.

%K nonn,easy

%O 1,3

%A _Robert G. Wilson v_, Jul 04 2014

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Last modified September 20 00:39 EDT 2024. Contains 376015 sequences. (Running on oeis4.)