

A067864


Numbers n such that n divides the sum of digits of 6^n.


7




OFFSET

1,2


COMMENTS

Conjecture: the sequence is finite, since (sum of the digits of 6^n)/n>log_10(6)*4.5~3.50168 as n>00 (this is also a conjecture).  Robert Gerbicz, May 08 2008
Next term, if it exists, exceeds 100000. [From Sean A. Irvine, Apr 05 2010]


LINKS

Table of n, a(n) for n=1..5.


EXAMPLE

a(1)=3, so 3 divides sum of digits of 6^3 (i.e.2+1+6=9).


CROSSREFS

Cf. A000400, A066002, A175457, A175169, A067862, A067863.
Sequence in context: A133136 A161138 A201222 * A272513 A270979 A253219
Adjacent sequences: A067861 A067862 A067863 * A067865 A067866 A067867


KEYWORD

hard,nonn,base


AUTHOR

Amarnath Murthy and Shyam Sunder Gupta, Feb 16 2002


STATUS

approved



