2018
DOI: 10.9734/arjom/2018/42751
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Generalized a:k:m-Fibonacci Numbers

Abstract: some important properties relating to the Pascal type triangle generated from this sequence. The results are extended to negative values of and , an important concept which brings on board Lehmer type sequences. Most importantly, generalized a:k:m-Fibonacci sequences provide a means to unify ideas that are otherwise treated independently. The theory of a:k:m-Fibonacci numbers is therefore a unification theory.

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