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A054635 Champernowne sequence: write n in base 3 and juxtapose. 21
0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Essentially the same as A003137. [From R. J. Mathar, Aug 29 2009]

An irregular table in which the n-th row lists the base 3 digits of n. - Jason Kimberley, Dec 07 2012

The base 3 Champernowne constant: it is normal in base 3. - Jason Kimberley, Dec 07 2012

LINKS

Reinhard Zumkeller, Rows n = 0..1000 of triangle, flattened

Eric Weisstein's World of Mathematics, Ternary Champernowne Constant

Wikipedia, Ternary numeral system

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[#, 3] &, 105, 0] (* Robert G. Wilson v, Jun 29 2014 *)

PROG

(MAGMA) [0]cat &cat[Reverse(IntegerToSequence(n, 3)):n in[1..31]]; // Jason Kimberley, Dec 07 2012

(Haskell)

a054635 n k = a054635_tabf !! n !! k

a054635_row n = a054635_tabf !! n

a054635_tabf = map reverse a030341_tabf

a054635_list = concat a054635_tabf

-- Reinhard Zumkeller, Feb 21 2013

CROSSREFS

Cf. A007376, A030190, A054637.

Table in which the n-th row lists the base b digits of n: A030190 and A030302 (b=2), A003137 and this sequence (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). - Jason Kimberley, Dec 06 2012

Cf. A081604 (row lengths), A053735 (row sums), A030341, A007089, A030341.

Sequence in context: A024940 A324827 A205217 * A003137 A006842 A299038

Adjacent sequences:  A054632 A054633 A054634 * A054636 A054637 A054638

KEYWORD

nonn,base,cons,easy,tabf

AUTHOR

N. J. A. Sloane, Apr 16 2000

STATUS

approved

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Last modified April 22 15:23 EDT 2021. Contains 343177 sequences. (Running on oeis4.)