Generalizations of two-stack-sortable permutations

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In this thesis, we apply the stack sorting operator to $r$-permutations and construct the functional equation for the generating function of two-stack-sortable $k$-tuple $r$-permutations counted by descents by using a factorization similar to Zeilberger's. We solve the functional equation and give explicit formulas for the number of two-stack-sortable $r$-permutations.
PH.D Thesis, 57 pages

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Combinatorics

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http://salesiana.dossiersoluciones.com/handle/123456789/65052

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0209313
 http://arxiv.org/abs/math/0209313

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arXiv