Geodesic
Avoiding 2-letter Signed Patterns
Séminaire lotharingien de combinatoire, Tome 49 (2002-2004) 
Toufik Mansour; Julian West. Avoiding 2-letter Signed Patterns. Séminaire lotharingien de combinatoire, Tome 49 (2002-2004). http://geodesic.mathdoc.fr/item/SLC_2002-2004_49_a0/
@article{SLC_2002-2004_49_a0,
     author = {Toufik Mansour and Julian West},
     title = {Avoiding 2-letter {Signed} {Patterns}},
     journal = {S\'eminaire lotharingien de combinatoire},
     year = {2002-2004},
     volume = {49},
     url = {http://geodesic.mathdoc.fr/item/SLC_2002-2004_49_a0/}
}
TY  - JOUR
AU  - Toufik Mansour
AU  - Julian West
TI  - Avoiding 2-letter Signed Patterns
JO  - Séminaire lotharingien de combinatoire
PY  - 2002-2004
VL  - 49
UR  - http://geodesic.mathdoc.fr/item/SLC_2002-2004_49_a0/
ID  - SLC_2002-2004_49_a0
ER  - 
%0 Journal Article
%A Toufik Mansour
%A Julian West
%T Avoiding 2-letter Signed Patterns
%J Séminaire lotharingien de combinatoire
%D 2002-2004
%V 49
%U http://geodesic.mathdoc.fr/item/SLC_2002-2004_49_a0/
%F SLC_2002-2004_49_a0

Voir la notice de l'acte provenant de la source Séminaire Lotharingien de Combinatoire website

Let Bn be the hyperoctahedral group, the set of all signed permutations on n letters, and let Bn(T) be the set of all signed permutations in Bn which avoid a set T of signed patterns. In this paper, we find all the cardinalities of the sets Bn(T) where T \subseteq B2. Some of the cardinalities encountered involve inverse binomial coefficients, binomial coefficients, Catalan numbers, and Fibonacci numbers.