In this paper we give a combinatorial interpretation of the Chebyshev polynomials (of the first and of the second kind) in terms of the number of ideals of generalized fences and crowns. The enumeration of such ideals is obtained in an elementary way by using the principle of inclusion-exclusion.
A combinatorial interpretation of the Chebyshev polynomials
MUNARINI, EMANUELE
2006-01-01
Abstract
In this paper we give a combinatorial interpretation of the Chebyshev polynomials (of the first and of the second kind) in terms of the number of ideals of generalized fences and crowns. The enumeration of such ideals is obtained in an elementary way by using the principle of inclusion-exclusion.File in questo prodotto:
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