Parity Theorems for Statistics on Domino Arrangements
Copyright policy )Parity Theorems for Statistics on Domino Arrangements
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.
- University of Tennessee at Knoxville United States
bivariate generating functions, linear and circular domino arrangements, special values of Carlitz's \(q\)-Fibonacci and \(q\)-Lucas polynomials, Exact enumeration problems, generating functions, Fibonacci and Lucas numbers and polynomials and generalizations
bivariate generating functions, linear and circular domino arrangements, special values of Carlitz's \(q\)-Fibonacci and \(q\)-Lucas polynomials, Exact enumeration problems, generating functions, Fibonacci and Lucas numbers and polynomials and generalizations
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