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Abstract

In Chapter 12 we studied some interesting applications of the Pell family to combinatorics, in particular, to the theory of lattice-walking. This chapter presents additional applications to combinatorics, including the theory of partitioning.

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Notes

  1. 1.

    Currently at the University of Florida at Gainesville.

References

  1. K. Alladi and V.E. Hoggatt, Jr., Compositions with Ones and Twos, Fibonacci Quarterly 12 (1974), 233–239.

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  2. A.T. Benjamin and J.J. Quinn, Proofs That Really Count: The Art of Combinatorial Proof, MAA, Washington, D.C., 2003.

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Koshy, T. (2014). Pell Tilings. In: Pell and Pell–Lucas Numbers with Applications. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-8489-9_16

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