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Catalan numbers, the Hankel transform and Fibonacci numbers

By Aleksandar Cvetković and Predrag Rajković

Abstract

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. 1

Year: 2011
OAI identifier: oai:CiteSeerX.psu:10.1.1.188.9967
Provided by: CiteSeerX
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