

A173526


a(n) = 1+A053827(n1), where A053827 is the sumofdigits 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
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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+n1) 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+n1) 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+b1} 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



