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
收藏
页码：45 / 59
页数：15
相关论文
共 50 条
  • [1] ON SOME COMBINATORIAL IDENTITIES INVOLVING THE TERMS OF GENERALIZED FIBONACCI AND LUCAS SEQUENCES
    Akyuz, Zeynep
    Halici, Serpil
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2013, 42 (04): : 431 - 435
  • [2] Pythagorean triples containing generalized Lucas numbers
    Siar, Zafer
    Keskin, Refik
    TURKISH JOURNAL OF MATHEMATICS, 2018, 42 (04) : 1904 - 1912
  • [3] GENERATING IDENTITIES FOR GENERALIZED FIBONACCI AND LUCAS TRIPLES
    HORADAM, AF
    FIBONACCI QUARTERLY, 1977, 15 (04): : 289 - 292
  • [4] DIOPHANTINE TRIPLES WITH VALUES IN THE SEQUENCES OF FIBONACCI AND LUCAS NUMBERS
    Luca, Florian
    Munagi, Augustine O.
    GLASNIK MATEMATICKI, 2017, 52 (01) : 23 - 43
  • [5] SOME INTERESTING INFINITE FAMILIES OF PRIMITIVE PYTHAGOREAN TRIPLES
    Terr, David
    FIBONACCI QUARTERLY, 2012, 50 (01): : 68 - 81
  • [6] Some identities involving generalized Genocchi polynomials and generalized Fibonacci-Lucas sequences
    Zhang, ZZ
    Jin, JY
    FIBONACCI QUARTERLY, 1998, 36 (04): : 329 - 334
  • [7] Equations with Solution in Terms of Fibonacci and Lucas Sequences
    Andreescu, Titu
    Andrica, Dorin.
    ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2014, 22 (03): : 5 - 12
  • [8] Markoff–Rosenberger triples and generalized Lucas sequences
    Hayder R. Hashim
    László Szalay
    Szabolcs Tengely
    Periodica Mathematica Hungarica, 2022, 85 : 188 - 202
  • [9] PRIMITIVE PERIODS OF GENERALIZED FIBONACCI SEQUENCES
    SMITH, C
    HOGGATT, VE
    FIBONACCI QUARTERLY, 1976, 14 (04): : 343 - 347
  • [10] SOME IDENTITIES FOR GENERALIZED FIBONACCI AND LUCAS SEQUENCES
    Irmak, Nurettin
    Alp, Murat
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2013, 42 (04): : 331 - 338
12345