A244679 The spiral of Champernowne read by the Northeast ray.

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

Offset

1,2

Links

Table of n, a(n) for n=1..105.

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_] := 4n^2 - 10n + 7 (* see A244677 formula section *); Array[ almostNatural[ f@#, 10] &, 105]

Crossrefs

Cf. A033307, A054554, A244677 - A244688, A033952, A244690 - A244692.

Sequence in context: A144108 A163972 A068464 * A035674 A058600 A133704

Adjacent sequences: A244676 A244677 A244678 * A244680 A244681 A244682

Keyword

nonn,easy

Author

Robert G. Wilson v, Jul 04 2014

Status

approved