Sums of three Fibonacci numbers close to a power of 2
Bibhu Prasad Tripathy, Bijan Kumar Patel
TL;DR
This paper characterizes all sums of three Fibonacci numbers that are near powers of 2, extending previous research and providing a comprehensive classification of such sums.
Contribution
It identifies and classifies all instances where the sum of three Fibonacci numbers approximates a power of 2, expanding on prior work by Hasanalizade.
Findings
Complete list of Fibonacci triplets close to powers of 2
Extension of previous classifications
New bounds on the differences from powers of 2
Abstract
In this paper, we find all the sums of three Fibonacci numbers which are close to a power of 2. This paper continues and extends the previous work of Hasanalizade \cite{Hasanalizade}.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Historical Astronomy and Related Studies · Advanced Mathematical Identities