Fascinating Number Sequences from Fourth Order Difference Equation Via Quaternion Algebras

Discussiones Mathematicae - General Algebra and Applications

Patra Asim¹ 

[1] Department of Mathematics, National Institute of Technology, Rourkela, Odisha, India, [e-mail];

关键词: balancing numbers;    lucas-balancing numbers;    quaternion algebra;    coding theory;    pell and lucas-pell numbers;    11b37;    11b39;    11d09;   

DOI  :  10.7151/dmgaa.1369

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown