A079942 Numerators of the convergents of the continued fraction for log(2).

0, 1, 2, 7, 9, 61, 192, 253, 445, 1143, 1588, 2731, 4319, 7050, 25469, 261740, 287209, 548949, 836158, 2221265, 3057423, 5278688, 8336111, 13614799, 49180508, 111975815, 385107953, 497083768, 6847196937, 48427462327, 200557046245, 248984508572, 449541554817

Offset

1,3

Links

Table of n, a(n) for n=1..33.

Example

9/13 = 0.6923076923076923...
61/88 = 0.69318181818181818...
192/277 = 0.6931407942238267148...
...
log(2) = 0.6931471805599453...

Mathematica

Convergents[ContinuedFraction[Log[2], 40]]//Numerator (* Harvey P. Dale, Jun 05 2021 *)

Crossrefs

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

Sequence in context: A041717 A002353 A041073 * A272412 A042561 A252661

Adjacent sequences: A079939 A079940 A079941 * A079943 A079944 A079945

Keyword

frac,nonn

Author

Paul D. Hanna, Jan 19 2003

Extensions

Corrected and extended by Harvey P. Dale, Jun 05 2021

Status

approved