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Tiling Proofs of Some Formulas for the Pell Numbers of Odd Index

  • Mark Shattuck
Published/Copyright: May 7, 2009
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Integers
From the journal Volume 9 Issue 1

Abstract

We provide tiling proofs of several algebraic formulas for the Pell numbers of odd index, all of which involve alternating sums of binomial coefficients, as well as consider polynomial generalizations of these formulas. In addition, we provide a combinatorial interpretation for a Diophantine equation satisfied by the Pell numbers of odd index.

Received: 2008-08-08
Accepted: 2008-12-14
Published Online: 2009-05-07
Published in Print: 2009-April

© de Gruyter 2009

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