Catalan Transform of the $k$-Fibonacci Sequence
Commun. Korean Math. Soc. 2013 Vol. 28, No. 4, 827-832
https://doi.org/10.4134/CKMS.2013.28.4.827
Printed 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
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