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

%I

%S 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,

%T 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,

%U 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

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

%C 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. .

%C See conjecture in the entry A000120.

%C 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.

%F a(n) = A053827(6^k+n-1) where k>= ceil( log_6(n/5)). [R. J. Mathar, Dec 09 2010]

%F Conjecture: Fixed point of the morphism 1->{1,2,3,...b}, 2->{2,3,4...,b+1},

%F j->{j,j+1,...,j+b-1} for b=6. [Joerg Arndt, Dec 08 2010]

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

%K nonn,base

%O 1,2

%A _Omar E. Pol_, Feb 20 2010

%E More terms from _Vincenzo Librandi_, Aug 02 2010

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Last modified January 18 07:18 EST 2019. Contains 319269 sequences. (Running on oeis4.)