Pavel Trojovský

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Fibonacci sequence (or sequence of the Fibonacci numbers) 〈Fn〉∞n=0 is the sequence of positive integers satisfying the recurrence relation Fn+2 = Fn+1 +Fn with the initial conditions F0 = 0 and F1 = 1. Lucas sequence is a sequence 〈Ln〉∞n=0 of positive integers satisfying the same recurrence as the Fibonacci numbers but with the initial conditions L0 = 2 and(More)
The aim of this paper is to give new results about factorizations of the Fibonacci numbers Fn and the Lucas numbers Ln. These numbers are defined by the second order recurrence relation an+2 = an+1+an with the initial terms F0 = 0, F1 = 1 and L0 = 2, L1 = 1, respectively. Proofs of theorems are done with the help of connections between determinants of(More)
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