A275993 Champernowne sequence: write n in base 16 and juxtapose.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 1, 0, 1, 1, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, 1, 7, 1, 8, 1, 9, 1, 10, 1, 11, 1, 12, 1, 13, 1, 14, 1, 15, 2, 0, 2, 1, 2, 2, 2, 3, 2, 4, 2, 5, 2, 6, 2, 7, 2, 8, 2, 9, 2, 10, 2, 11, 2, 12, 2, 13, 2, 14, 2, 15, 3, 0, 3, 1, 3, 2, 3, 3, 3, 4, 3, 5, 3, 6, 3, 7, 3, 8, 3, 9, 3, 10, 3, 11, 3

Offset

0,3

Comments

10 -> A, 11 -> B, 12 -> C, 13 -> D, 14 -> E & 15 -> F.

Links

Paolo Xausa, Table of n, a(n) for n = 0..10000

Jim Bumgardner, Hexadecimal Sudoku Puzzles

Tech Insider, This is the code Matt Damon and NASA use to communicate in 'The Martian'

Eric W. Weisstein, Wolfram MathWorld, Hexadecimal

Wikipedia, Hexadecimal

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]]]; Array[ almostNatural[#, 16] &, 105, 0]
First[RealDigits[ChampernowneNumber[16], 16, 100, 0]] (* Paolo Xausa, Jun 21 2024 *)

Crossrefs

Tables in which the n-th row lists the base b digits of n: A030190 and A030302 (b=2), A003137 and A054635 (b=3), A030373 (b=4), A031219 (b=5), A030548 (b=6), A030998 (b=7), A031035 and A054634 (b=8), A031076 (b=9), A007376 and A033307 (b=10).

Sequence in context: A139179 A262437 A130909 * A160700 A002377 A053836

Adjacent sequences: A275990 A275991 A275992 * A275994 A275995 A275996

Keyword

nonn,look,base

Author

Robert G. Wilson v, Aug 15 2016

Status

approved