The maximal order of Stern's diatomic sequence

Title: The maximal order of Stern's diatomic sequence
Creator: Coons, Michael; Tyler, Jason
Relation: ARC.DE140100223
Relation: Moscow Journal of Combinatorics and Number Theory Vol. 4, Issue 3, p. 3-13
Relation: http://mjcnt.phystech.edu/en/article.php?id=82
Publisher: Moscow Institute of Physics and Technology
Resource Type: journal article
Date: 2014
Description: We answer a question of Calkin and Wilf concerning the maximal order of Stern’s diatomic sequence. Specifically, we prove that [formula could not be replicated] where φ = (√5 + 1)/2 is the golden ratio. This improves on previous results given by Berlekamp, Conway, and Guy, who showed that the limit value was bounded above by 1.25, and by Calkin and Wilf, who showed that the exact value was in the interval [formula could not be replicated]
Subject: maximal order; Stern's diatomic sequence; proof; Fibonacci recursion
Identifier: http://hdl.handle.net/1959.13/1297350
Identifier: uon:19433
Identifier: ISSN:2220-5438
Language: eng
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