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A tiling approach
to Fibonacci product identities
Jacob Artz and Michael Rowell
Vol. 2 (2009), No. 5, 581–587
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Abstract |
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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. |
Keywords
Fibonacci products, tiling
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Mathematical Subject Classification 2000
Primary: 05A19, 11B39
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Milestones
Received: 4 August 2009
Revised: 14 September 2009
Accepted: 19 September 2009
Published: 13 January 2010
Communicated by Arthur T. Benjamin
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Authors |
| Jacob Artz | |
| Mathematics Department Pacific University 2043 College Way Forest Grove, OR 97116 United States |
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| Michael Rowell | |
| Mathematics Department Pacific University 2043 College Way Forest Grove, OR 97116 United States |
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| www.math.pacificu.edu/~rowell | |
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