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A173526 a(n) = 1+A053827(n-1), where A053827 is the sum-of-digits function in base 6. 4
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 here 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

Table of n, a(n) for n=1..100.

FORMULA

a(n) = A053827(6^k+n-1) where k>= ceil( 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]

CROSSREFS

Cf. A000120, A053827, A063787, A173523 - A173529.

Sequence in context: A192514 A105257 A125937 * A245342 A203580 A043266

Adjacent sequences:  A173523 A173524 A173525 * A173527 A173528 A173529

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 December 16 07:12 EST 2018. Contains 318158 sequences. (Running on oeis4.)