On the intersection of \(k\)-Lucas sequences and some binary sequences (Q2077902)
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scientific article; zbMATH DE number 7479505
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the intersection of \(k\)-Lucas sequences and some binary sequences |
scientific article; zbMATH DE number 7479505 |
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On the intersection of \(k\)-Lucas sequences and some binary sequences (English)
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22 February 2022
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Lucas sequence \((L_n)\) is determined by \(L_0=2\); \(L_1=1\); \(L_n=L_{n-1}+L_{n-2}\), if \(n\ge 2\). The paper studies \(k\)-generalized \((k\ge 3)\) Lucas sequence. The sequence starts with the \(k\) terms \(0,\dots,0,2, 1\) and each term afterwards is the sum of the \(k\) preceding terms. The paper finds among its terms Fibonacci, Pell or Pell-Lucas numbers.
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\(k\)-generalized Lucas numbers
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linear form in logarithms
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reduction method
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