Geodesic
Generalized Catalan numbers, Hankel transforms and Somos-4 sequences
Journal of integer sequences, Tome 13 (2010) no. 7.

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

Summary: 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},
     publisher = {mathdoc},
     volume = {13},
     number = {7},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2010__13_7_a5/}
}
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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/