A generalization of Fibonacci sequence

Abstract We attempt to generalize Fibonacci sequence by generating certain number of sequences whose terms are obtained by adding the last two generated terms of the preceding sequence. When we consider the particular case of generating only one sequence we obtain the Fibonacci sequence. Moreover we...

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Autores principales: Kumar Paul,Neeraj, Saikia,Helen K.
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2020
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000601393
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Sumario:Abstract We attempt to generalize Fibonacci sequence by generating certain number of sequences whose terms are obtained by adding the last two generated terms of the preceding sequence. When we consider the particular case of generating only one sequence we obtain the Fibonacci sequence. Moreover we prove some of the results which can be seen as generalized form of the results which hold for Fibonacci se- quence. We also verify the results for the particular case of Fibonacci sequence.