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Repeated Digits (Posted on 2014-01-14) Difficulty: 2 of 5
Define the sequence A(n) as: A(1) = 1, A(2) =13, A(3) = 131, A(4) = 1313,...
  1. Determine the minimum value of n such that A(n) is divisible by 29.
  2. What is the general form of n such that A(n) is divisible by 29?

No Solution Yet Submitted by K Sengupta    
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Solution spoiler | Comment 1 of 2
131313131   does it.
n....9 digits fits.
28 digits fits as well.

Edited, after seeing Ch's program's results:
The valid n are congruent to   0 mod 28  or 9 mod 28:
i.e.  n=9,28,37,56   etc

Edited on January 14, 2014, 2:29 pm
  Posted by Ady TZIDON on 2014-01-14 10:30:09

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