Geodesic
On a family of generalized Pascal triangles defined by exponential Riordan arrays
Journal of integer sequences, Tome 10 (2007) no. 3
We introduce a family of number triangles defined by exponential Riordan arrays, which generalize Pascal's triangle. We characterize the row sums and central coefficients of these triangles, and define and study a set of generalized Catalan numbers. We establish links to the Hermite, Laguerre and Bessel polynomials, as well as links to the Narayana and Lah numbers.
Classification : 11B83, 05A19, 33C45, 11B37, 11B65
Keywords: Pascal's triangle, narayana numbers, Catalan numbers, lah numbers, Hermite polynomials, Laguerre polynomials, Bessel polynomials 
@article{JIS_2007__10_3_a2,
     author = {Barry,  Paul},
     title = {On a family of generalized {Pascal} triangles defined by exponential {Riordan} arrays},
     journal = {Journal of integer sequences},
     year = {2007},
     volume = {10},
     number = {3},
     zbl = {1158.05004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2007__10_3_a2/}
}
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%A Barry,  Paul
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%J Journal of integer sequences
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Barry,  Paul. On a family of generalized Pascal triangles defined by exponential Riordan arrays. Journal of integer sequences, Tome 10 (2007) no. 3. http://geodesic.mathdoc.fr/item/JIS_2007__10_3_a2/