PELL FACTORIANGULAR NUMBERS

被引:3
作者
Luca, Florian [1 ,2 ,3 ]
Odjoumani, Japhet [4 ]
Togbe, Alain [5 ]
机构
[1] Univ Witwatersrand, Sch Math, Johannesburg, South Africa
[2] UNAM, Ctr Ciencias Matemat, Morelia, Michoacan, Mexico
[3] King Abdulaziz Univ, Jeddah, Saudi Arabia
[4] Univ Abomey Calavi, Inst Math & Sci Phys, Dangbo, Benin
[5] Purdue Univ Northwest, Dept Math Stat & Comp Sci, Westville, IN USA
来源
PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD | 2019年 / 105卷 / 119期
关键词
factoriangular numbers; Pell numbers; FIBONACCI;
D O I
10.2298/PIM1919093L
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We show that the only Pell numbers which are factoriangular are 2, 5 and 12.
引用
收藏
页码:93 / 100
页数:8
相关论文
共 11 条
[1]  
[Anonymous], 2015, ASIA PAC J MULTIDISC
[2]  
[Anonymous], 1969, FIBONACCI QUART
[3]   Effective lower bounds of the p-adic distance between powers of algebraic numbers [J].
Bugeaud, Y ;
Laurent, M .
JOURNAL OF NUMBER THEORY, 1996, 61 (02) :311-342
[4]   Classical and modular approaches to exponential Diophantine equations I. Fibonacci and Lucas perfect powers [J].
Bugeaud, Yann ;
Mignotte, Maurice ;
Siksek, Samir .
ANNALS OF MATHEMATICS, 2006, 163 (03) :969-1018
[5]  
Cohn J. H. E., 1964, J LOND MATH SOC, V39, P537, DOI 10.1112/jlms/s1-39.1.537
[6]   Fibonacci factoriangular numbers [J].
Gomez Ruiz, Carlos Alexis ;
Luca, Florian .
INDAGATIONES MATHEMATICAE-NEW SERIES, 2017, 28 (04) :796-804
[7]  
London H., 1969, FIBONACCI QUART, V7, P487
[8]  
LONDON H, 1970, FIBONACCI QUART, V8, P248
[9]   Fibonacci numbers of the form k2+k+2 [J].
Luca, F .
APPLICATIONS OF FIBONACCI NUMBERS, VOL 8, 1999, :241-249
[10]  
Luca F., 2000, Portugal. Math, V57, P243