Generalized Catalan numbers and generalized Hankel transformations
Journal of integer sequences, Tome 10 (2007) no. 1.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Cvetković, Rajković and Ivković proved that the Hankel transformation of the sequence of sums of adjacent Catalan numbers is a sequence of every other Fibonacci number. In this paper, an elementary proof is given and a generalization to sequences of generalized Catalan numbers.
Classification : 11B37, 11B39, 11B75
Keywords: generalized Catalan numbers, Hankel transform
@article{JIS_2007__10_1_a6,
     author = {Chamberland, Marc and French, Christopher},
     title = {Generalized {Catalan} numbers and generalized {Hankel} transformations},
     journal = {Journal of integer sequences},
     publisher = {mathdoc},
     volume = {10},
     number = {1},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2007__10_1_a6/}
}
TY  - JOUR
AU  - Chamberland, Marc
AU  - French, Christopher
TI  - Generalized Catalan numbers and generalized Hankel transformations
JO  - Journal of integer sequences
PY  - 2007
VL  - 10
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JIS_2007__10_1_a6/
LA  - en
ID  - JIS_2007__10_1_a6
ER  - 
%0 Journal Article
%A Chamberland, Marc
%A French, Christopher
%T Generalized Catalan numbers and generalized Hankel transformations
%J Journal of integer sequences
%D 2007
%V 10
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JIS_2007__10_1_a6/
%G en
%F JIS_2007__10_1_a6
Chamberland, Marc; French, Christopher. Generalized Catalan numbers and generalized Hankel transformations. Journal of integer sequences, Tome 10 (2007) no. 1. http://geodesic.mathdoc.fr/item/JIS_2007__10_1_a6/