A215749 Continued fraction expansion of log_10(3).

0, 2, 10, 2, 2, 1, 13, 1, 7, 18, 2, 2, 1, 2, 3, 4, 1, 1, 14, 2, 44, 1, 3, 1, 14, 2, 2, 1, 1, 2, 30, 1, 1, 3, 2, 4, 3, 7, 2, 6, 8, 1, 2, 7, 62, 1, 3, 4, 60, 1, 89, 3, 3, 1, 1, 7, 3, 3, 2, 4, 2, 2, 1, 25, 2, 6, 2, 2, 1, 3, 2, 2, 1, 1, 2, 5, 1, 1, 1, 1, 1, 3, 66

Offset: 0

Author

V. Raman, Aug 23 2012

Keywords

• nonn
• cofr

Crossrefs

Cf. A114490 (decimal expansion), A215753, A215757 (convergents).

Cf. A028232, A215750, A082571, A215752 (continued fraction expansion of log_2(10), log_10(6), log_10(7), log_10(11)).

Programs

Mathematica

ContinuedFraction[Log10[3],120] (* Harvey P. Dale, Nov 24 2017 *)

PARI

default(realprecision,99); contfrac(log(3)/log(10))

Extensions

a(0)=0 prepended by Andrew Howroyd, Jul 09 2024