Geodesic
Catalan numbers, the Hankel transform, and Fibonacci numbers
Journal of integer sequences, Tome 5 (2002) no. 1.

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

Summary: We prove that the Hankel transformation of a sequence whose elements are the sums of two adjacent Catalan numbers is a subsequence of the Fibonacci numbers. This is done by finding the explicit form for the coefficients in the three-term recurrence relation that the corresponding orthogonal polynomials satisfy. 
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     author = {Cvetkovic, Aleksandar and Rajkovi\'c, Predrag and Ivkovi\'c, Milos},
     title = {Catalan numbers, the {Hankel} transform, and {Fibonacci} numbers},
     journal = {Journal of integer sequences},
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     number = {1},
     year = {2002},
     language = {en},
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Cvetkovic, Aleksandar; Rajković, Predrag; Ivković, Milos. Catalan numbers, the Hankel transform, and Fibonacci numbers. Journal of integer sequences, Tome 5 (2002) no. 1. http://geodesic.mathdoc.fr/item/JIS_2002__5_1_a2/