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A173526 a(n) = 1 + A053827(n-1), where A053827 is the sum-of-digits function in base 6. 6
1, 2, 3, 4, 5, 6, 2, 3, 4, 5, 6, 7, 3, 4, 5, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 9, 10, 11, 2, 3, 4, 5, 6, 7, 3, 4, 5, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 9, 10, 11, 7, 8, 9, 10, 11, 12, 3, 4, 5, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 9, 10, 11, 7, 8, 9, 10 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
If A053827 is regarded as a triangle then the rows converge to this sequence, i.e., a(n) = A053827(6^k+n-1) in the limit k->infinity, where k plays the role of a row index in A053827.
See conjecture in the entry A000120.
This sequence is the base b=6 case equivalent to A063787 (b=2), A173523 (b=3), A173524 (b=4), A173525 (b=5). Generic comments concerning the various bases are in A173525.
LINKS
FORMULA
a(n) = A053827(6^k+n-1) where k >= ceiling(log_6(n/5)). - R. J. Mathar, Dec 09 2010
Conjecture: Fixed point of the morphism 1->{1,2,3,...,b}, 2->{2,3,4,...,b+1},
j->{j,j+1,...,j+b-1} for b=6. - Joerg Arndt, Dec 08 2010
MATHEMATICA
Table[1 + Total[IntegerDigits[n-1, 6]], {n, 1, 110}] (* G. C. Greubel, Jul 02 2019 *)
PROG
(PARI) A053827(n)= if(n<1, 0, if(n%6, a(n-1)+1, a(n/6)));
vector(110, n, 1+A053827(n-1)) \\ G. C. Greubel, Jul 02 2019
CROSSREFS
Sequence in context: A192514 A105257 A125937 * A245342 A203580 A043266
KEYWORD
nonn,base
AUTHOR
Omar E. Pol, Feb 20 2010
EXTENSIONS
More terms from Vincenzo Librandi, Aug 02 2010
STATUS
approved

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Last modified March 19 03:33 EDT 2024. Contains 370952 sequences. (Running on oeis4.)