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A030548
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Write n in base 6 and juxtapose.
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32
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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
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OFFSET
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1,2
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COMMENTS
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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
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LINKS
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MATHEMATICA
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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 *)
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PROG
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(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))
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CROSSREFS
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Cf. A030567 for the same table with reversed rows.
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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