Geodesic
Generalized Catalan numbers, Hankel transforms and Somos-4 sequences
Journal of integer sequences, Tome 13 (2010) no. 7
We study families of generalized Catalan numbers, defined by convolution recurrence equations. We explore their relations to series reversion, Riordan array transforms, and in a special case, to Somos-4 sequences via the mechanism of the Hankel transform.
Classification : 11B83, 11B37, 11C20, 15B05, 15B36
Keywords: integer sequence, linear recurrence, riordan arrays, continued fraction, Hankel transform, somos sequence 
@article{JIS_2010__13_7_a5,
     author = {Barry,  Paul},
     title = {Generalized {Catalan} numbers, {Hankel} transforms and {Somos-4} sequences},
     journal = {Journal of integer sequences},
     year = {2010},
     volume = {13},
     number = {7},
     zbl = {1197.11030},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2010__13_7_a5/}
}
TY  - JOUR
AU  - Barry,  Paul
TI  - Generalized Catalan numbers, Hankel transforms and Somos-4 sequences
JO  - Journal of integer sequences
PY  - 2010
VL  - 13
IS  - 7
UR  - http://geodesic.mathdoc.fr/item/JIS_2010__13_7_a5/
LA  - en
ID  - JIS_2010__13_7_a5
ER  - 
%0 Journal Article
%A Barry,  Paul
%T Generalized Catalan numbers, Hankel transforms and Somos-4 sequences
%J Journal of integer sequences
%D 2010
%V 13
%N 7
%U http://geodesic.mathdoc.fr/item/JIS_2010__13_7_a5/
%G en
%F JIS_2010__13_7_a5
Barry,  Paul. Generalized Catalan numbers, Hankel transforms and Somos-4 sequences. Journal of integer sequences, Tome 13 (2010) no. 7. http://geodesic.mathdoc.fr/item/JIS_2010__13_7_a5/