Alternating sums of reciprocal generalized Fibonacci numbers

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 in...

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Published inSpringerPlus Vol. 3; no. 1; pp. 485 - 5
Main Author Kuhapatanakul, Kantaphon
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 29.08.2014
Springer Nature B.V
Subjects
Humanities and Social Sciences
Mathematics (Theoretical)
multidisciplinary
Science
Science (multidisciplinary)
Fibonacci numbers
Reciprocal sums
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Summary: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
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ISSN:2193-1801
2193-1801
DOI:10.1186/2193-1801-3-485