The signed Eulerian numbers on involutions

Details The signed Eulerian numbers on involutions The signed Eulerian numbers on involutions

2008-03-14

arxiv.org/abs/0803.2126v1

Mathematics

Combinatorics

10 pages

Scientific paper

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.

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