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Power of two (Posted on 20100512) 

Given a sequence of of natural numbers
a1, a2, a3, ...
such that a1 is not a multiple of 5
and a(n+1)=a(n)+(the last digit of a(n)).
Prove that this sequence contains infinitely many integer powers of 2.
Ex: 33,36,42,44,48,56,62,
64,....128,.....256 etc
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Subject 
Author 
Date 
 Proof.  Jer  20100512 15:26:52 


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