Alternating sums of reciprocal generalized Fibonacci numbers

ABSTRACT: Recently Holliday and Komatsu extended the results of Ohtsuka and Nakamura on reciprocal sums of Fibonacci numbers to reciprocal sums of generalized Fibonacci numbers. The aim of this work is to give similar results for the alternating sums of reciprocals of the generalized Fibonacci numbe...

Descripción completa

Detalles Bibliográficos
Autor principal: Kuhapatanakul, Kantaphon
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2014
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4161721/
https://www.ncbi.nlm.nih.gov/pubmed/25221739
http://dx.doi.org/10.1186/2193-1801-3-485
Descripción
Sumario:ABSTRACT: Recently Holliday and Komatsu extended the results of Ohtsuka and Nakamura on reciprocal sums of Fibonacci numbers to reciprocal sums of generalized Fibonacci numbers. The aim of this work is to give similar results for the alternating sums of reciprocals of the generalized Fibonacci numbers with indices in arithmetic progression. Finally we note our generalizations of some results of Holliday and Komatsu. AMS SUBJECT CLASSIFICATION: Primary 11B37; secondary 11B39

Ejemplares similares