Tiling proofs of recent sum identities involving Pell numbers
From MaRDI portal
Publication:1021369
DOI10.1007/s00026-008-0350-5zbMath1169.05305OpenAlexW2062049174WikidataQ60691896 ScholiaQ60691896MaRDI QIDQ1021369
Arthur T. Benjamin, Sean S. Plott, James A. Sellers
Publication date: 8 June 2009
Published in: Annals of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://scholarship.claremont.edu/hmc_fac_pub/103
Combinatorial identities, bijective combinatorics (05A19) Other combinatorial number theory (11B75) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)
Related Items
A combinatorial proof of an identity of Ramanujan using tilings ⋮ Two infinite families of terminating binomial sums ⋮ On the \((s,t)\)-Pell and \((s,t)\)-Pell-Lucas sequences and their matrix representations ⋮ An arithmetic approach to a four-parameter generalization of some special sequences ⋮ Combinatorial proofs of various \(q\)-Pell identities via tilings ⋮ Tilings of hyperbolic (2 × n)-board with colored squares and dominoes ⋮ Pell identities via a quadratic field ⋮ On a four-parameter generalization of some special sequences ⋮ Restricted partitions and \(q\)-Pell numbers ⋮ Extensions and refinements of some properties of sums involving Pell numbers ⋮ Complementary Families of the Fibonacci-Lucas Relations ⋮ Pell numbers identities from Toeplitz-Hessenberg determinants ⋮ Tilings of (2 × 2 × n)-board with coloured cubes and bricks