A tiling approach to Fibonacci product identities

Jacob Artz; Michael Rowell

doi:10.2140/involve.2009.2.581

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Home > Journals > Involve > Volume 2 > Issue 5 > Article

2009 A tiling approach to Fibonacci product identities

Jacob Artz, Michael Rowell

Involve 2(5): 581-587 (2009). DOI: 10.2140/involve.2009.2.581

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Abstract

In 1998 Filipponi and Hart introduced a number of Fibonacci product identities. This paper provides a combinatorial proof for such identities via tilings. The methods used in the proof are then further used to produce some new Zeckendorf representations and a known Fibonacci identity.

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Jacob Artz. Michael Rowell. "A tiling approach to Fibonacci product identities." Involve 2 (5) 581 - 587, 2009. https://doi.org/10.2140/involve.2009.2.581