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A215758
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Numerators of the continued fraction convergents of log_10(6).
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1
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1, 3, 4, 7, 228, 235, 463, 128949, 129412, 258361, 646134, 3489031, 4135165, 20029691, 24164856, 92524259, 671834669, 764358928, 1436193597, 63956877196, 65393070793, 325529160368, 716451391529, 1041980551897, 1758431943426, 4558844438749, 38229187453418, 81017219345585, 119246406799003
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OFFSET
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1,2
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COMMENTS
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6^(denominator of convergent) gets increasingly close to 10^a(n), agreeing to approximately a(n) digits
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LINKS
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MATHEMATICA
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Rest[Convergents[Log10[6], 30]]//Numerator (* Harvey P. Dale, Sep 05 2020 *)
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PROG
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(PARI) default(realprecision, 21000); for(i=1, 100, print(contfracpnqn(contfrac(log(6)/log(10), 0, i))[1, 1]))
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CROSSREFS
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KEYWORD
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nonn,frac
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AUTHOR
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STATUS
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approved
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