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A244678
The spiral of Champernowne read by the East-Northeast ray.
1
1, 1, 2, 7, 5, 1, 2, 6, 3, 4, 3, 6, 7, 6, 0, 1, 1, 1, 5, 1, 2, 1, 1, 2, 1, 4, 9, 3, 8, 0, 8, 4, 3, 9, 8, 5, 6, 0, 0, 6, 7, 5, 2, 7, 6, 2, 6, 9, 3, 2, 0, 4, 1, 1, 4, 1, 2, 1, 1, 3, 3, 0, 1, 1, 2, 5, 0, 1, 1, 3, 7, 2, 1, 1, 6, 0, 6, 2, 2, 1, 2, 1, 2, 2, 7, 5, 8, 2, 2, 4, 8, 6, 2, 2, 4, 1, 6, 3, 3, 4, 4, 7, 3, 3, 7
OFFSET
1,3
FORMULA
See A244677 formula section.
EXAMPLE
See A244677 for the spiral of David Gawen Champernowne.
MATHEMATICA
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 - 37n + 22 (* see A244677 formula section *); Array[ almostNatural[ f@#, 10] &, 105]
KEYWORD
nonn,easy
AUTHOR
Robert G. Wilson v, Jul 04 2014
STATUS
approved