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A215759
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Numerators of the continued fraction convergents of log_10(7).
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1
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1, 5, 11, 60, 371, 431, 2074774, 2075205, 4149979, 10375163, 24900305, 60175773, 85076078, 145251851, 230327929, 1527219425, 7866425054, 9393644479, 787538916811, 5522166062156, 11831871041123, 17354037103279, 29185908144402, 46539945247681, 401505470125850, 2054067295876931
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OFFSET
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1,2
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COMMENTS
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7^(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[Numerator[Convergents[Log[10, 7], 30]]] (* Harvey P. Dale, Feb 16 2014 *)
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PROG
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(PARI) default(realprecision, 21000); for(i=1, 100, print(contfracpnqn(contfrac(log(7)/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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