Symmetry
(Oct 2018)
Fibonacci and Lucas Numbers of the Form 2a + 3b + 5c + 7d
Yunyun Qu,
Jiwen Zeng,
Yongfeng Cao
Affiliations
Yunyun Qu
School of Mathematical Sciences, Xiamen University, Xiamen 361005, China
Jiwen Zeng
School of Mathematical Sciences, Xiamen University, Xiamen 361005, China
Yongfeng Cao
School of Big Data and Computer Science, Guizhou Normal University, Guiyang 550001, China
DOI
https://doi.org/10.3390/sym10100509
Journal volume & issue
Vol. 10,
no. 10
Abstract
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In this paper, we find all Fibonacci and Lucas numbers written in the form 2 a + 3 b + 5 c + 7 d , in non-negative integers a , b , c , d , with 0 ≤ max { a , b , c } ≤ d .
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