k-generalized Fibonacci numbers of the form 1+2^{n_1}+4^{n_2}+\cdots+(2^{k})^{n_k}

Mathematical Communications

Luca, Florian¹  Gómez Ruiz, Carlos Alexis² 

[1] School of Mathematics, University of the Witwatersrand, South Africa;Departamento de Matematicas, Universidad del Valle, Santiago de Cali, Colombia

关键词: Fibonacci numbers;    Lower bounds for nonzero linear forms in logarithms of algebraic numbers;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: Sveuciliste Josipa Jurja Strossmayera u Osijeku * Odjel za Matematiku / University of Osijek, Department of Mathematics

【 摘 要 】

Ageneralizationofthewell-knownFibonaccisequenceisthek-generalizedFibonaccisequence(F_n^{(k)})_{ngt;=2-k}whosefirstktermsare0,...,0,1andeachtermafterwardsisthesumoftheprecedingkterms.Inthispaper,we...

【 授权许可】

Unknown