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Fibonacci numbers as mixed concatenations of Fibonacci and Lucas numbers
Mathematica SlovacaAbstractLet (Fn)n≥0and (Ln)n≥0be the Fibonacci and Lucas sequences, respectively. In this paper we determine all Fibonacci numbers which are mixed concatenations of a Fibonacci and a Lucas numbers. By mixed concatenations ofaandb, we mean the both concatenationsabandbatogether, whereaandbare any two nonnegative integers.
Altassan, Alaa, ALAN, Murat
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Fibonacci numbers with Fibonacci numbers as subscripts
2018The original solution of Problem B-1203 in the problem section of this journal. It was acquired to prove two equalities for the sums with the Fibonacci numbers or the Lucas numbers whose indices are again the Fibonacci numbers and the Lucas numbers, respectively.
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A Logarithmic Formula for Fibonacci Numbers
The Fibonacci Quarterly, 1966zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Applications of Fibonacci Numbers
Mathematics of Computation, 1989H. C. W. +3 more
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Abstract The Fibonacci numbers are introduced and carefully developed together with a bit of biography of Fibonacci himself. He is best known for promoting the use of Hindu-Arabic numerals in Europe and especially for his “rabbit problem” which introduces the Fibonacci numbers. Of special interest is the decimal expansion for 1/89 having
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On the Generalization of the Fibonacci Numbers
The Fibonacci Quarterly, 1975openaire +2 more sources
Fibonacci-Riesel and Fibonacci-Sierpiński numbers
The Fibonacci Quarterly, 2008Florian Luca, V. Janitzio Mejía Huguet
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