Pell numbers: Difference between revisions
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'''Pell numbers''' may also be used to find '''near isosceles right triangles'''; right triangles whose legs differ by exactly '''1'''. E.G.: '''(3,4,5), (20,21,29), (119,120,169), etc.''' |
'''Pell numbers''' may also be used to find Pythagorean triple '''near isosceles right triangles'''; right triangles whose legs differ by exactly '''1'''. E.G.: '''(3,4,5), (20,21,29), (119,120,169), etc.''' |
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For '''n > 0''', each right triangle hypotenuse is '''P<sub>2n + 1</sub>'''. The shorter leg length is the sum of the |
For '''n > 0''', each right triangle hypotenuse is '''P<sub>2n + 1</sub>'''. The shorter leg length is the sum of the terms ''up to'' '''P<sub>2n + 1</sub>'''. The longer leg length is '''1''' more than that. |
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;* Find and show at least the first 10 indices of '''Pell primes'''. |
;* Find and show at least the first 10 indices of '''Pell primes'''. |
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;* Find and show at least the first 10 '''Newman-Shank-Williams numbers''' |
;* Find and show at least the first 10 '''Newman-Shank-Williams numbers''' |
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;* Find and show at least the first 10 '''near isosceles right triangles'''. |
;* Find and show at least the first 10 Pythagorean triples corresponding to '''near isosceles right triangles'''. |
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