Some identities for the generalized Fibonacci numbers and the generalized Lucas numbers

DOI10.1016/j.amc.2012.11.030zbMath1283.11037OpenAlexW2033983896MaRDI QIDQ2434861

Andrezej Włoch

Publication date: 31 January 2014

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.11.030

zbMATH Keywords

countinggeneralized Fibonacci numbergeneralized Lucas number\(k\)-independent set in graphs

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (10)

Total graph interpretation of the numbers of the Fibonacci type ⋮ Connection formulae between generalized Lucas polynomials and some Jacobi polynomials: application to certain types of fourth-order BVPs ⋮ On generalized Fibonacci numbers and \(k\)-distance \(K_p\)-matchings in graphs ⋮ On a new type of distance Fibonacci numbers ⋮ A common generalization of convolved generalized Fibonacci and Lucas polynomials and its applications ⋮ Some identities for generalized Fibonacci and Lucas numbers ⋮ New hypergeometric connection formulae between Fibonacci and Chebyshev polynomials ⋮ On a four-parameter generalization of some special sequences ⋮ Some identities of the generalized Fibonacci and Lucas sequences ⋮ A class of generalized Tribonacci sequences applied to counting problems

This page was built for publication: Some identities for the generalized Fibonacci numbers and the generalized Lucas numbers