从四阶差分方程到四元数代数的迷人数列

Q4 Mathematics

Discussiones Mathematicae - General Algebra and Applications Pub Date : 2021-09-06 DOI:10.7151/dmgaa.1369

A. Patra

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引用次数: 0

摘要

平衡数和卢卡斯平衡数是二阶递推关系的解。这些数的线性组合也可以作为四阶递归关系的解得到。这种递推关系可以推广到广义四元数代数。此外，四阶递归关系在编码理论中也有应用。

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Fascinating Number Sequences from Fourth Order Difference Equation Via Quaternion Algebras

Abstract The balancing and Lucas-balancing numbers are solutions of second order recurrence relations. A linear combination of these numbers can also be obtained as solutions of a fourth order recurrence relation. This recurrence relation can be extended to generalized quaternion algebras. Also, the fourth order recurrence relation has application in coding theory.

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来源期刊

Discussiones Mathematicae - General Algebra and Applications Mathematics-Algebra and Number Theory

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

26 weeks