On certain combinations of higher powers of Fibonacci numbers

Fibonacci Association
Publication Type:
Journal Article
The Fibonacci Quarterly, 2010, 48 (3), pp. 256 - 259
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We present identities that we feel can be regarded as higher order analogues of the well-known identity F; + F;+l = Hn+l. We give three theorems corresponding to the powers 4, 6, and 8. We also state two conjectures that give the form of similar identities that involve higher powers.
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