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Classroom Notes

Identities for generalized Fibonacci numbers: a combinatorial approach

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Pages 563-566 | Received 05 Jul 2007, Published online: 07 Jul 2008

References

  • Hoggat , VE . 1969 . Fibonacci and Lucas Numbers , Palo Alto, CA : Houghton-Mifflin .
  • Vajda , S . 1989 . Fibonacci & Lucas Numbers, and the Golden Section. Theory and Applications , New York : Ellis Horwood Limited .
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  • Benjamin , AT and Quinn , JJ . 2003 . Proofs that Really Count. The Art of Combinatorial Proof , Washington : The Mathematical Association of America .
  • Falcón , S and Plaza , Á . 2007 . On the Fibonacci k-numbers . Chaos, Solitons & Fractals , 32 : 1615 – 1624 .
  • Falcón , S and Plaza , Á . 2007 . The k-Fibonacci sequence and the Pascal 2-triangle . Chaos, Solitons & Fractals , 33 : 38 – 49 .
  • Sloane , NJA . 2007 . The on-line encyclopedia of integer sequences . Available at http://www.research.att.com/∼njas/sequences/
  • Monk , L , Tang , D and Brown , D . 2004 . Identities for generalized fibonacci numbers . Int. J. Math. Educ. Sci. Technol. , 35 : 436 – 439 .

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