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{\bf Mark A. Shattuck and Carl G. Wagner}
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{\bf Parity Theorems for Statistics on Domino Arrangements}
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We study special values of Carlitz's $q$-Fibonacci and $q$-Lucas
polynomials $F_n(q,t)$ and $L_n(q,t)$. Brief algebraic and detailed
combinatorial treatments are presented, the latter based on the fact
that these polynomials are bivariate generating functions for a pair
of statistics defined, respectively, on linear and circular domino
arrangements.




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