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Number of repeating digits in base b expansion of fractions

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posted on 2017-12-06, 00:00 authored by Noel Patson
In base 10 the fraction 1/3 has 1 repeating digit, 3, while 1/7 has 6 repeating digits: {}. This plot shows the number of repeating digits in the base representation of a fraction with a specified numerator and with denominators from 1 up to a specified size for bases to a specified size.

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Category 1 - Australian Competitive Grants (this includes ARC, NHMRC)

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Wolfram Mathematica

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    Keywords

    Number basesNumber theoryPatternsStatistical Mechanics, Physical Combinatorics and Mathematical Aspects of Condensed MatterAlgebra and Number Theory

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    CQUniversity General 1.0

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