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 Catalan Transform of the $k$-Fibonacci Sequence Commun. Korean Math. Soc. 2013 Vol. 28, No. 4, 827-832 https://doi.org/10.4134/CKMS.2013.28.4.827Printed October 1, 2013 Sergio Falcon University of Las Palmas de Gran Canaria Abstract : In this paper we apply the Catalan transform to the $k$-Fibo\-nacci sequence finding different integer sequences, some of which are indexed in OEIS and others not. After we apply the Hankel transform to the Catalan transform of the $k$-Fibonacci sequence and obtain an unusual property. Keywords : $k$-Fibonacci numbers, Catalan numbers, Catalan transform, Hankel transform Downloads: Full-text PDF