Geodesic
Ménage numbers and ménage permutations
Journal of integer sequences, Tome 18 (2015) no. 6
In this paper, we study the combinatorial structures of straight and ordinary ménage permutations. Based on these structures, we prove four formulas. The first two formulas define a relationship between the ménage numbers and the Catalan numbers. The other two formulas count the ménage permutations by number of cycles.
Classification : 05A05, 05A15
Keywords: straight ménage number, ordinary ménage number, straight ménage permutation, ordinary ménage permutation 
@article{JIS_2015__18_6_a3,
     author = {Li,  Yiting},
     title = {M\'enage numbers and m\'enage permutations},
     journal = {Journal of integer sequences},
     year = {2015},
     volume = {18},
     number = {6},
     zbl = {1327.05007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2015__18_6_a3/}
}
TY  - JOUR
AU  - Li,  Yiting
TI  - Ménage numbers and ménage permutations
JO  - Journal of integer sequences
PY  - 2015
VL  - 18
IS  - 6
UR  - http://geodesic.mathdoc.fr/item/JIS_2015__18_6_a3/
LA  - en
ID  - JIS_2015__18_6_a3
ER  - 
%0 Journal Article
%A Li,  Yiting
%T Ménage numbers and ménage permutations
%J Journal of integer sequences
%D 2015
%V 18
%N 6
%U http://geodesic.mathdoc.fr/item/JIS_2015__18_6_a3/
%G en
%F JIS_2015__18_6_a3
Li,  Yiting. Ménage numbers and ménage permutations. Journal of integer sequences, Tome 18 (2015) no. 6. http://geodesic.mathdoc.fr/item/JIS_2015__18_6_a3/