Combinatorial Proofs of Various q-Pell Identities via Tilings

Karen S. Briggs; David P. Little; James A. Sellers

doi:10.1007/s00026-011-0067-8

Combinatorial Proofs of Various q-Pell Identities via Tilings

Karen S. Briggs
, David P. Little
, James A. Sellers

Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

Recently, Benjamin, Plott, and Sellers proved a variety of identities involving sums of Pell numbers combinatorially by interpreting both sides of a given identity as enumerators of certain sets of tilings using white squares, black squares, and gray dominoes. In this article, we state and prove q-analogues of several Pell identities via weighted tilings.

Original language	English (US)
Pages (from-to)	407-418
Number of pages	12
Journal	Annals of Combinatorics
Volume	14
Issue number	4
DOIs	https://doi.org/10.1007/s00026-011-0067-8
State	Published - Dec 2010

All Science Journal Classification (ASJC) codes

Discrete Mathematics and Combinatorics

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10.1007/s00026-011-0067-8

Cite this

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abstract = "Recently, Benjamin, Plott, and Sellers proved a variety of identities involving sums of Pell numbers combinatorially by interpreting both sides of a given identity as enumerators of certain sets of tilings using white squares, black squares, and gray dominoes. In this article, we state and prove q-analogues of several Pell identities via weighted tilings.",

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AU - Little, David P.

AU - Sellers, James A.

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N2 - Recently, Benjamin, Plott, and Sellers proved a variety of identities involving sums of Pell numbers combinatorially by interpreting both sides of a given identity as enumerators of certain sets of tilings using white squares, black squares, and gray dominoes. In this article, we state and prove q-analogues of several Pell identities via weighted tilings.

AB - Recently, Benjamin, Plott, and Sellers proved a variety of identities involving sums of Pell numbers combinatorially by interpreting both sides of a given identity as enumerators of certain sets of tilings using white squares, black squares, and gray dominoes. In this article, we state and prove q-analogues of several Pell identities via weighted tilings.

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UR - https://www.scopus.com/pages/publications/79952693820#tab=citedBy

U2 - 10.1007/s00026-011-0067-8

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M3 - Article

AN - SCOPUS:79952693820

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EP - 418

JO - Annals of Combinatorics

JF - Annals of Combinatorics

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ER -

Combinatorial Proofs of Various q-Pell Identities via Tilings

Abstract

All Science Journal Classification (ASJC) codes

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