Browsing by Subject "k-generalized Fibonacci numbers"

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Repdigits as Product of Fibonacci and Tribonacci Numbers

Bednařík, Dušan; Trojovská, Eva (MDPI-Molecular diversity preservation international, 2020)

In this paper, we study the problem of the explicit intersection of two sequences. More specifically, we find all repdigits (i.e., numbers with only one repeated digit in its decimal expansion) which can be written as the ...
Repdigits as Product of Terms of k-Bonacci Sequences

Coufal, Petr; Trojovský, Pavel (MDPI-Molecular diversity preservation international, 2021)

For any integer k >= 2, the sequence of the k-generalized Fibonacci numbers (or k-bonacci numbers) is defined by the k initial values F-(k-2)(k)=...=F0(k)=0 and F1(k)=1 and such that each term afterwards is the sum of the ...

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