A030548 Write n in base 6 and juxtapose.

1, 2, 3, 4, 5, 1, 0, 1, 1, 1, 2, 1, 3, 1, 4, 1, 5, 2, 0, 2, 1, 2, 2, 2, 3, 2, 4, 2, 5, 3, 0, 3, 1, 3, 2, 3, 3, 3, 4, 3, 5, 4, 0, 4, 1, 4, 2, 4, 3, 4, 4, 4, 5, 5, 0, 5, 1, 5, 2, 5, 3, 5, 4, 5, 5, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 3, 1, 0, 4, 1, 0, 5, 1, 1, 0, 1, 1, 1, 1

Offset: 1

Author

Clark Kimberling

Keywords

• nonn
• base
• cons
• easy
• tabf

Comments

Base-6 analog of what in base 7 is A030998, in base 10 is A007376. In general, the Barbier infinite word base n (in this case, 6). - Jonathan Vos Post, May 13 2007

An irregular table in which the n-th row lists the base-6 digits of n. - Jason Kimberley, Dec 07 2012

The base-6 Champernowne constant: It is normal in base 6. - Jason Kimberley, Dec 07 2012

Links

• R. J. Mathar, Table of n, a(n) for n = 1..5950

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), this sequence (b=6), A030998 (b=7), A031035 and A054634 (b=8), A031076 (b=9), A007376 and A033307 (b=10). - Jason Kimberley, Dec 06 2012

Cf. A030567 for the same table with reversed rows.

Programs

Magma

&cat[Reverse(IntegerToSequence(n,6)):n in[1..31]]; // Jason Kimberley, Dec 07 2012

Mathematica

Flatten@ IntegerDigits[ Range@ 50, 6] (* or *)
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[ a[#, 6] &, 105] (* Robert G. Wilson v, Jul 01 2014 *)

Python

from itertools import count, chain, islice
from sympy.ntheory.factor_ import digits
def A030548_gen(): return chain.from_iterable(digits(m, 6)[1:] for m in count(1))
A030548_list = list(islice(A030548_gen(), 30)) # Chai Wah Wu, Jan 07 2022

Extensions

Edited by N. J. A. Sloane at the suggestion of Andrew S. Plewe, Aug 23 2007