Families of Primitive Pythagorean Triples Involving Terms of Generalized Fibonacci and Lucas Sequences

被引：0

作者：

Omur, N. ^{[1
]}

Sener, C. D. ^{[1
]}

Koparal, S. ^{[1
]}

机构：

[1] Kocaeli Univ, Dept Math, Math, Kocaeli, Turkey

来源：

JOURNAL OF MATHEMATICAL EXTENSION | 2016年 / 10卷 / 04期

关键词：

Generalized Fibonacci numbers; Pythagorean triples; primitive Pythagorean triples;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider primitive Pythagorean triples with terms of the generalized Fibonacci and Lucas sequences. We give families of primitive Pythagorean triples whose coefficient may all be simply expressed in terms of the generalized Fibonacci and Lucas sequences.

引用

页码：45 / 59

页数：15

共 50 条

[21] REMAINDER FORMULAS INVOLVING GENERALIZED FIBONACCI AND LUCAS POLYNOMIALS
GLASSON, AR
FIBONACCI QUARTERLY, 1995, 33 (03): : 268 - 272
[22] Some identities involving the generalized Fibonacci and Lucas numbers
Zhao, FZ
Wang, TM
ARS COMBINATORIA, 2004, 72 : 311 - 318
[23] DEDEKIND SUMS AND SOME GENERALIZED FIBONACCI AND LUCAS SEQUENCES
Dilcher, Karl
Meyer, Jeffrey L.
FIBONACCI QUARTERLY, 2010, 48 (03): : 260 - 264
[24] Some Golden Ratio generalized Fibonacci and Lucas sequences
Leyendekkers, J. V.
Shannon, A. G.
NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2016, 22 (01) : 33 - 41
[25] New Identities for Generalized Fibonacci Sequences and New Generalization of Lucas Sequences
Yayenie, Omer
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2012, 36 (05) : 739 - 752
[26] Families of identities involving sums of powers of the Fibonacci and Lucas numbers
Melham, RS
FIBONACCI QUARTERLY, 1999, 37 (04): : 315 - 319
[27] Terms of Generalized Fibonacci Sequences That are Powers of Their Orders
Marques, Diego
Trojovsky, Pavel
LITHUANIAN MATHEMATICAL JOURNAL, 2016, 56 (02) : 219 - 228
[28] Terms of Generalized Fibonacci Sequences That are Powers of Their Orders
Diego Marques
Pavel Trojovský
Lithuanian Mathematical Journal, 2016, 56 : 219 - 228
[29] ON THE SPACING BETWEEN TERMS OF GENERALIZED FIBONACCI SEQUENCES
Marques, Diego
COLLOQUIUM MATHEMATICUM, 2014, 134 (02) : 267 - 280
[30] ON SOME DIOPHANTINE EQUATIONS INVOLVING GENERALIZED FIBONACCI AND LUCAS NUMBERS
Ait-Amrane, Lyes
Behloul, Djilali
COLLOQUIUM MATHEMATICUM, 2017, 150 (02) : 257 - 268

← 1 2 3 4 5 →