Binomial transform of the generalized k-Fibonacci numbers

Título:	Binomial transform of the generalized k-Fibonacci numbers
Autores/as:	Falcon, Sergio
Clasificación UNESCO:	120504 Teoría elemental de los números
Palabras clave:	K-Fibonacci numbers Generalization of the K -Fibonacci numbers Generating function Binomial transform
Fecha de publicación:	2019
Publicación seriada:	Communications In Mathematics And Applications
Resumen:	We recall the concept and some properties of the generalized k-Fibonacci numbers and then apply the binomial transform to these sequences. As consequence, we obtain new integer sequences related to the generalized k -Fibonacci numbers. Finally, we find the recurrence relation of these new sequences and the formulas for their sums.
URI:	http://hdl.handle.net/10553/71802
ISSN:	0976-5905
DOI:	10.26713/cma.v10i3.1221
Fuente:	Communications In Mathematics And Applications [ISSN 0976-5905], v. 10 (3), p. 643-651, (2019)
Colección:	Artículos

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