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Catalan numbers, the Hankel transform and Fibonacci numbers

By Aleksandar Cvetković and Predrag Rajković


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
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