TRIANGULAR NUMBERS AND GENERALIZED FIBONACCI POLYNOMIAL

被引：0
|
作者：
Sahin, Adem [1 ]
机构：
[1] Tokat Gaziosmanpasa Univ, Fac Educ, Dept Math & Sci Educ, TR-60250 Tokat, Turkey
来源：
MATHEMATICA SLOVACA | 2022年 / 72卷 / 06期
关键词：
Alternating triangular numbers; triangular numbers; generalized Fibonacci polynomials;
D O I：
10.1515/ms-2022-0099
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present paper, we study triangular numbers. We focus on the linear homogeneous recurrence relation of degree 3 with constant coefficients for triangular numbers. Then we deal with the relationship between generalized Fibonacci polynomials and triangular numbers. We show that different properties of triangular numbers can be obtained by using this relationship. Finally, we examine the properties of the sequence A052529 that has strong relationships with triangular numbers. (c) 2022 Mathematical Institute Slovak Academy of Sciences
引用
收藏
页码：1463 / 1470
页数：8
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