Generalized Catalan numbers and generalized Hankel transformations
Journal of integer sequences, Tome 10 (2007) no. 1
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
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},
year = {2007},
volume = {10},
number = {1},
zbl = {1116.11009},
language = {en},
url = {http://geodesic.mathdoc.fr/item/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/