Combinatorial Proofs of Various q-Pell Identities via Tilings

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

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


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 languageEnglish (US)
Pages (from-to)407-418
Number of pages12
JournalAnnals of Combinatorics
Issue number4
StatePublished - Dec 2010
Externally publishedYes


  • Pell numbers
  • combinatorial identities
  • q-enumeration
  • tilings


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