A new property of Stern's sequence and a fast algorithm for calculating the nth term of the sequence

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PDF (Euskara)
Published 02-05-2019
DOI https://doi.org/10.1387/ekaia.19513
Yosu Yurramendi Mendizabal
Euskal Herriko Unibertsitatea
http://orcid.org/0000-0002-4399-600X

Abstract

 

Stern's sequence consists of natural numbers and has many properties. A new property of the sequence is given in this work, by which the value of the nth term is quickly calculated. This quickness is based on the representation of n in the binary system. It is explained how the property has arisen, as well as the mathematical proof of its truth.

 

 

Abstract 369 | PDF (Euskara) Downloads 477

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Keywords

Stern sequence, recursion, experimental mathematics

Issue
No. 35 (2019): EKAIA 35
Section
Ale Arrunta
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