Fibonacci numbers which are products of two balancing numbers
نویسندگان
چکیده
منابع مشابه
On perfect numbers which are ratios of two Fibonacci numbers ∗
Here, we prove that there is no perfect number of the form Fmn/Fm, where Fk is the kth Fibonacci number.
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where Fm denotes the 77?th Fibonacci number, and o > 1. Without loss of generality , we may require that t be prime. The unique solution for t 2, namely (m, c) = (12, 12)5 was given by J. H. E. Cohn [2], and by 0. Wyler [11]. The unique solution for £ = 3, namely (m9 o) = (6, 2), was given by H. London and R. Finkelstein [5] and by J. C. Lagarias and D. P. Weisser [4]. A. Petho [6] showed that ...
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The energy E(G) of a graph G is the sum of the absolute values of the eigenvalues of G. In this article we consider the problem whether generalized Fibonacci constants $varphi_n$ $(ngeq 2)$ can be the energy of graphs. We show that $varphi_n$ cannot be the energy of graphs. Also we prove that all natural powers of $varphi_{2n}$ cannot be the energy of a matroid.
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ژورنال
عنوان ژورنال: Annales Mathematicae et Informaticae
سال: 2019
ISSN: 1787-5021,1787-6117
DOI: 10.33039/ami.2019.06.001