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

1,2

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

Table of n, a(n) for n=1..90.

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 *)

Prog

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

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.

Sequence in context: A265518 A256296 A256306 * A346690 A117724 A255826

Adjacent sequences: A030545 A030546 A030547 * A030549 A030550 A030551

Keyword

nonn,base,cons,easy,tabf

Author

Clark Kimberling

Extensions

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

Status

approved