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.
M. Barnabei, F. Bonetti, M. Silimbani (2008). The signed Eulerian Numbers on Involutions. PURE MATHEMATICS AND APPLICATIONS, 19(2/3), 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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