Parity theorems for statistics on domino arrangements (Q2571303)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Parity theorems for statistics on domino arrangements |
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Parity theorems for statistics on domino arrangements (English)
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1 November 2005
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Summary: 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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special values of Carlitz's \(q\)-Fibonacci and \(q\)-Lucas polynomials
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bivariate generating functions
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linear and circular domino arrangements
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