Výsledky vyhledávání - "Haviland, John"

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An Introduction to Completeness of Positive Linear Recurrence Sequences

Autor: Bołdyriew, Elżbieta, Haviland, John, Lâm, Phúc, Lentfer, John, Miller, Steven J., Suárez, Fernando Trejos

A positive linear recurrence sequence (PLRS) is a sequence defined by a homogeneous linear recurrence relation with positive coefficients and a particular set of initial conditions. A sequence of positive integers is \emph{complete} if every positive

Externí odkaz: http://arxiv.org/abs/2010.04071

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Completeness of Positive Linear Recurrence Sequences

Autor: Bołdyriew, Elżbieta, Haviland, John, Lâm, Phúc, Lentfer, John, Miller, Steven J., Suárez, Fernando Trejos

A sequence of positive integers is complete if every positive integer is a sum of distinct terms. A positive linear recurrence sequence (PLRS) is a sequence defined by a homogeneous linear recurrence relation with nonnegative coefficients of the form

Externí odkaz: http://arxiv.org/abs/2010.01655

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Extending Zeckendorf's Theorem to a Non-constant Recurrence and the Zeckendorf Game on this Non-constant Recurrence Relation

Autor: Bołdyriew, Elżbieta, Cusenza, Anna, Dai, Linglong, Ding, Pei, Dunkelberg, Aidan, Haviland, John, Huffman, Kate, Ke, Dianhui, Kleber, Daniel, Kuretski, Jason, Lentfer, John, Luo, Tianhao, Miller, Steven J., Mizgerd, Clayton, Tiwari, Vashisth, Ye, Jingkai, Zhang, Yunhao, Zheng, Xiaoyan, Zhu, Weiduo

Zeckendorf's Theorem states that every positive integer can be uniquely represented as a sum of non-adjacent Fibonacci numbers, indexed from $1, 2, 3, 5,\ldots$. This has been generalized by many authors, in particular to constant coefficient fixed d

Externí odkaz: http://arxiv.org/abs/2009.12475

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