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A244817 The hexagonal spiral of Champernowne, read along the 150-degree ray. 11
1, 7, 4, 3, 5, 0, 8, 9, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 8, 9, 9, 1, 9, 1, 1, 2, 6, 3, 3, 7, 7, 5, 6, 6, 2, 8, 8, 9, 1, 1, 1, 6, 4, 4, 5, 7, 1, 7, 8, 2, 2, 1, 2, 1, 7, 4, 5, 4, 6, 9, 0, 1, 9, 3, 4, 2, 6, 7, 8, 7, 7, 2, 3, 6, 2, 7, 8, 9, 1, 2, 4, 6, 4, 8, 9, 7, 1, 4, 5, 2, 2, 0, 1, 1, 7 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
FORMULA
(3n^2 - 3n + 1)th almost natural number (A033307), Also see formula section of A056105.
EXAMPLE
see A244807 example section for its diagram.
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_] := 3n^2 - 3n + 1 (* see formula section of A244807 *); Array[ almostNatural[ f@#, 10] &, 105]
CROSSREFS
Sequence in context: A194705 A344906 A243309 * A303612 A306555 A293237
KEYWORD
nonn,easy
AUTHOR
Robert G. Wilson v, Jul 06 2014
STATUS
approved

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Last modified March 28 11:59 EDT 2024. Contains 371254 sequences. (Running on oeis4.)