A010068 - OEIS

%I #16 Aug 04 2019 14:55:05

%S 1,2,4,8,11,17,24,28,36,37,39,43,46,52,59,68,76,82,89,98,106,117,124,

%T 133,141,152,159,168,176,187,194,203,216,217,219,223,226,232,239,248,

%U 256,262,269,278,286,297,304,313,321,332,339,348,356,367

%N a(n+1) = a(n) + sum of digits in base 6 representation of a(n).

%C a(n) mod 5 repeats 1,2,4,3. - _Robert Israel_, Aug 04 2019

%D S. R. Finch, Mathematical Constants, Cambridge, 2003, Section 2.24.

%H Robert Israel, <a href="/A010068/b010068.txt">Table of n, a(n) for n = 0..10000</a>

%H <a href="/index/Coi#Colombian">Index entries for Colombian or self numbers and related sequences</a>

%p f:= n -> n + convert(convert(n,base,6),`+`):

%p A[0]:= 1:

%p for n from 1 to 100 do A[n]:= f(A[n-1]) od:

%p seq(A[i],i=0..100); # _Robert Israel_, Aug 04 2019

%K nonn,base

%O 0,2

%A _Leonid Broukhis_

%E More terms from Neven Juric, Apr 11 2008