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November 25th, 2006, 11:37 PM   #1
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A 1371 Puzzle

Given the sequence : A_0 = 1; A_1 = 2, and:

A_(n+1) = A_n + A_(n-1)/(1 + (A_n - 1)^2), for n>1.

Prove that 52 < A_1371 < 65

NOTE: I found this problem under the list of "Unsolved Problems" in a Mathematical Olympiad Book.
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June 18th, 2009, 06:35 PM   #2
nqh
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Re: A 1371 Puzzle

After calculated I had A_1371 = 52.41503287 so 52 < A_1371 < 65
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