Metallic means and Pythagorean triples

被引：0
作者：
Rajput, Chetansing [1 ]
Manjunath, Hariprasad [2 ]
机构：
[1] Govt Maharashtra, Mumbai, India
[2] Univ Cote dAzur, INRIA Ctr, Nice, France
来源：
NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS | 2024年 / 30卷 / 01期
关键词：
Fibonacci sequence; Golden ratio; Primitive Pythagorean triples; Metallic means;
D O I：
10.7546/nntdm.2024.30.1.184-194
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we study the connection between Pythagorean triples and metallic means. We derive several interconnecting identities between different metallic means. We study the Pythagorean triples in the three-term recurrent sequences corresponding to different metallic means. Further, we relate different families of primitive Pythagorean triples to the corresponding metallic means.
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页码：184 / 194
页数：11
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