We de ne an analog of signed Eulerian numbers fn;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.
The signed Eulerian Numbers on Involutions / M. Barnabei; F. Bonetti; M. Silimbani. - In: PURE MATHEMATICS AND APPLICATIONS. - ISSN 1218-4586. - STAMPA. - 19:2/3(2008), pp. 117-126.
The signed Eulerian Numbers on Involutions
BARNABEI, MARILENA;BONETTI, FLAVIO;SILIMBANI, MATTEO
2008
Abstract
We de ne an analog of signed Eulerian numbers fn;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.File in questo prodotto:
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