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Lucas squares (Posted on 2013-12-15) Difficulty: 3 of 5

Let n be an integer, and let (Ln) signify the nth Lucas Number.

((Ln)2+(Ln+1)2)2 - 5((L2n+2)*(L2n)-1) = 0

Prove it!

See The Solution Submitted by broll    
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re(4): Long solution. | Comment 5 of 6 |
(In reply to re(3): Long solution. by broll)

Wouldn't you need to prove this?  (It is far from obvious to me.) That wouldn't make the proof shorter.

  Posted by Jer on 2013-12-17 11:06:49

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