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Numerators of the convergents of the continued fraction for log(2).
1

%I #12 Jun 05 2021 17:55:30

%S 0,1,2,7,9,61,192,253,445,1143,1588,2731,4319,7050,25469,261740,

%T 287209,548949,836158,2221265,3057423,5278688,8336111,13614799,

%U 49180508,111975815,385107953,497083768,6847196937,48427462327,200557046245,248984508572,449541554817

%N Numerators of the convergents of the continued fraction for log(2).

%e 9/13 = 0.6923076923076923...

%e 61/88 = 0.69318181818181818...

%e 192/277 = 0.6931407942238267148...

%e ...

%e log(2) = 0.6931471805599453...

%t Convergents[ContinuedFraction[Log[2],40]]//Numerator (* _Harvey P. Dale_, Jun 05 2021 *)

%Y Cf. A002162 (decimal expansion of log(2)), A079941, A079943 (denominators).

%K frac,nonn

%O 1,3

%A _Paul D. Hanna_, Jan 19 2003

%E Corrected and extended by _Harvey P. Dale_, Jun 05 2021