More on combinations of higher powers of fibonacci numbers
- Publication Type:
- Journal Article
- Fibonacci Quarterly, 2010, 48 (4), pp. 307 - 311
- Issue Date:
The Fibonacci Identity F n4-F n+14-F n+24-F n+34+F n+44=F 2n+42 belongs to a family of indentities where each indentity contains only one product of the right side. In this paper we give this family together with two other such familes. We also state two conjectures that give the form of similar identities. Finally, we give the expansions of L n2m and F n2m in terms of Lucas numbers with even subscripts.
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