On Stern's Diatomic Sequence 0,1,1,2,1,3,2,3,1,4,...

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Authors

Northshield, Sam

Issue Date

2010

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Article

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en_US

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Abstract

We investigate several of the many interesting properties of the title sequence. In particular, we focus on the combinatorics of the sequence (e.g., what the numbers count), some parallels with the Fibonacci sequence, some connections with Minkowski's question-mark function, and some geometric aspects.

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This article has been published in the August 2010 issue of American Mathematical Monthly, published by Taylor & Francis, Ltd. on behalf of the Mathematical Association of America.

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Northshield, S. (2010).On Stern's Diatomic Sequence 0,1,1,2,1,3,2,3,1,4,.... American Mathematical Monthly, 117(7). http://doi.org/10.4169/000298910X496714

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American Mathematical Monthly

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