Geodesic
Catalan numbers, the Hankel transform, and Fibonacci numbers
Journal of integer sequences, Tome 5 (2002) no. 1
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.
Classification : 11B65, 11B39, 05A10, 44A15 
@article{JIS_2002__5_1_a2,
     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},
     year = {2002},
     volume = {5},
     number = {1},
     zbl = {1041.11014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2002__5_1_a2/}
}
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%J Journal of integer sequences
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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/