perplexus.info :: Just Math : Lucas squares

Lucas squares (Posted on 2013-12-15)

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

((L_n)²+(L_n+1)²)² - 5((L_2n+2)*(L_2n)-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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