TY - JOUR
T1 - Combinatorial Proofs of Various q-Pell Identities via Tilings
AU - Briggs, Karen S.
AU - Little, David P.
AU - Sellers, James A.
PY - 2010/12
Y1 - 2010/12
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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U2 - 10.1007/s00026-011-0067-8
DO - 10.1007/s00026-011-0067-8
M3 - Article
AN - SCOPUS:79952693820
SN - 0218-0006
VL - 14
SP - 407
EP - 418
JO - Annals of Combinatorics
JF - Annals of Combinatorics
IS - 4
ER -