@article{discovery10192075,
            note = {This work is licensed under a Creative Commons Attribution 4.0 International (CC BY 4.0) License.},
          number = {2},
         journal = {Electronic Journal of Combinatorics},
            year = {2024},
           title = {A Remark on Continued Fractions for Permutations and D-Permutations with a Weight ?1 per Cycle},
          volume = {31},
           month = {April},
       publisher = {The Electronic Journal of Combinatorics},
          author = {Deb, B and Sokal, AD},
             url = {https://doi.org/10.37236/12149},
        abstract = {We show that very simple continued fractions can be obtained for the ordinary generating functions enumerating permutations or D-permutations with a large number of independent statistics, when each cycle is given a weight ?1. The proof is based on a simple lemma relating the number of cycles modulo 2 to the numbers of fixed points, cycle peaks (or cycle valleys), and crossings.},
            issn = {1077-8926}
}