The signed Eulerian numbers on involutions

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We define an analogue of signed Eulerian numbers $f_{n,k}$ for involutions of the symmetric group and derive some combinatorial properties of this sequence. In particular, we exhibit both an explicit formula and a recurrence for $f_{n,k}$ arising from the properties of its generating function.
10 pages

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Combinatorics, 05A05; 05A15; 05A19; 05E10

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http://salesiana.dossiersoluciones.com/handle/123456789/156902

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0803.2126
 http://arxiv.org/abs/0803.2126

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arXiv