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A067864 Numbers n such that n divides the sum of digits of 6^n. +0
2
3, 9, 18, 90 (list; graph; listen)
OFFSET

1,1

COMMENT

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 (robert.gerbicz(AT)gmail.com), May 08 2008

EXAMPLE

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

CROSSREFS

Adjacent sequences: A067861 A067862 A067863 this_sequence A067865 A067866 A067867

Sequence in context: A101652 A026565 A133136 this_sequence A097267 A043097 A084670

KEYWORD

hard,more,nonn,base

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com) and Shyam Sunder Gupta (guptass(AT)rediffmail.com), Feb 16 2002

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.


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