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August 18th, 2013, 05:27 PM  #1 
Newbie Joined: Aug 2013 Posts: 3 Thanks: 0  Recurrence Relation of a Sequence
The problem is at: http://sdrv.ms/13KJBit Can anyone figure it out? I've made a start, but not producing anything fruitful so far, answer is an integer from 0 to 999. 
August 18th, 2013, 06:54 PM  #2 
Global Moderator Joined: Dec 2006 Posts: 18,245 Thanks: 1439 
The sequence is defined by the recurrence relation For fixed integers it turns out that regardless of the initial values the sequence is eventually periodic. Find the sum of all possible periods. 

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