$k$-Arrangements, Statistics, and Patterns
$k$-Arrangements, Statistics, and Patterns
The $k$-arrangements are permutations whose fixed points are $k$-colored. We prove enumerative results related to statistics and patterns on $k$-arrangements, confirming several conjectures by Blitvić and Steingrímsson. In particular, one of their conjectures regarding the equidistribution of the number of descents over the derangement form and the permutation form of …