Some interesting infinite families of primitive Pythagorean triples (Q2891263)
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scientific article; zbMATH DE number 6046061
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some interesting infinite families of primitive Pythagorean triples |
scientific article; zbMATH DE number 6046061 |
Statements
13 June 2012
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Pythagorean triples
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Fibonacci numbers
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Lucas numbers
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0.8725979
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0.87054086
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Some interesting infinite families of primitive Pythagorean triples (English)
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In this paper, the author investigates families of primitive Pythagorean triples \((a,b,c)\), where \(mc-nb=t\), \(mc-na=t\) or \(mb-na=t\), for some fixed integers \(m,n,t\). The case \(m=2\), \(n=3\), \(t=\pm 2\) leads to some formulas involving Fibonacci and Lucas numbers.
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