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Square Crossed Sequence (Posted on 2013-12-09) Difficulty: 4 of 5
A sequence {Bp} of positive integers is such that:

B1 = 20, B2 = 30, and:

Bp+2 = 3*Bp+1 Bp, whenever p ≥ 1.

Determine all possible positive integer values of p such that:
1 + 5*Bp+1*Bp is a perfect square.

**** For an extra challenge, derive a non computer program assisted solution.

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
Possible solutionbroll2013-12-09 23:42:38
many solutionsBenny2013-12-09 19:21:26
Some Thoughtscomputer exploration -- no proof of completenessCharlie2013-12-09 16:43:04
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