Pell numbers: Difference between revisions
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'''Pell numbers''' are an infinite sequence of integers that comprise the denominators of the closest rational approximations to the square root of 2 but have |
'''Pell numbers''' are an infinite sequence of integers that comprise the denominators of the closest rational approximations to the square root of 2 but have many other interesting uses and relationships. |
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The numerators of each term of rational approximations to the square root of 2 may ''also'' be derived from '''Pell numbers''', or may be found by taking half of each term of the related sequence: '''Pell-Lucas''' or '''Pell-companion numbers'''. |
The numerators of each term of rational approximations to the square root of 2 may ''also'' be derived from '''Pell numbers''', or may be found by taking half of each term of the related sequence: '''Pell-Lucas''' or '''Pell-companion numbers'''. |
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