Extending the Theory of k-Fibonacci and k-Lucas Numbers
Asian Research Journal of Mathematics · pp. 1–6 · Published 14 Jun 2018
10.9734/ARJOM/2018/42293Abstract
The a:k:m-Fibonacci sequences and the a:k:m-Lucas sequences are introduced. The well-known k-Fibonacci and k-Lucas sequences become a particular case (a=m=1). One might be interested to meet the equally famous Jacobsthal sequence at 2,1. Our brief results capture the most important properties relating to the assemblage mechanics of these sequences.
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