合数的线性递归序列

Q1 Mathematics

Lms Journal of Computation and Mathematics Pub Date : 2012-12-01 DOI:10.1112/S1461157012001143

Jonas Siurys

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引用次数: 2

摘要

证明了对于2≤k≤10范围内的每一个正整数k，以及对于每一个正整数k≡79 (mod 120)，存在一个k步类合数斐波那契数列，并给出了该类数列的一些例子。这是Graham对类斐波那契数列结果的自然扩展。

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A linear recurrence sequence of composite numbers

We prove that for each positive integer k in the range 2≤ k ≤10 and for each positive integer k ≡79 ( mod 120) there is a k -step Fibonacci-like sequence of composite numbers and give some examples of such sequences. This is a natural extension of a result of Graham for the Fibonacci-like sequence.

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来源期刊

Lms Journal of Computation and Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： LMS Journal of Computation and Mathematics has ceased publication. Its final volume is Volume 20 (2017). LMS Journal of Computation and Mathematics is an electronic-only resource that comprises papers on the computational aspects of mathematics, mathematical aspects of computation, and papers in mathematics which benefit from having been published electronically. The journal is refereed to the same high standard as the established LMS journals, and carries a commitment from the LMS to keep it archived into the indefinite future. Access is free until further notice.