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

Author

Paul D. Hanna, Jan 19 2003

Keywords

• frac
• nonn

Examples

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

Crossrefs

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

Programs

Mathematica

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

Extensions

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