Geodesic
Variations of the Catalan Numbers From Some Nonassociative Binary Operations
Séminaire lotharingien de combinatoire, 80B (2018)

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We investigate certain nonassociative binary operations that satisfy a four-parameter generalization of the associative law. From this we obtain variations of the ubiquitous Catalan numbers and connections to many interesting combinatorial objects such as binary trees, plane trees, lattice paths, and permutations. 

@article{SLC_2018_80B_a30,
     author = {Nickolas Hein and Jia Huang},
     title = {Variations of the {Catalan} {Numbers} {From} {Some} {Nonassociative} {Binary} {Operations}},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {80B},
     year = {2018},
     url = {http://geodesic.mathdoc.fr/item/SLC_2018_80B_a30/}
}
TY  - JOUR
AU  - Nickolas Hein
AU  - Jia Huang
TI  - Variations of the Catalan Numbers From Some Nonassociative Binary Operations
JO  - Séminaire lotharingien de combinatoire
PY  - 2018
VL  - 80B
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SLC_2018_80B_a30/
ID  - SLC_2018_80B_a30
ER  - 
%0 Journal Article
%A Nickolas Hein
%A Jia Huang
%T Variations of the Catalan Numbers From Some Nonassociative Binary Operations
%J Séminaire lotharingien de combinatoire
%D 2018
%V 80B
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SLC_2018_80B_a30/
%F SLC_2018_80B_a30
Nickolas Hein; Jia Huang. Variations of the Catalan Numbers From Some Nonassociative Binary Operations. Séminaire lotharingien de combinatoire, 80B (2018). http://geodesic.mathdoc.fr/item/SLC_2018_80B_a30/