Parity considerations for drops in cycles on $\{1,2,\ldots,n\}$
Parity considerations for drops in cycles on $\{1,2,\ldots,n\}$
In 2019, A. Lazar and M. L. Wachs conjectured that the number of cycles on $[2n]$ with only even-odd drops equals the $n$-th Genocchi number. In this paper, we restrict our attention to a subset of cycles on $[n]$ that in all drops in the cycle, the latter entry is …