A028232 Continued fraction expansion for log_10(2).

0, 3, 3, 9, 2, 2, 4, 6, 2, 1, 1, 3, 1, 18, 1, 6, 1, 2, 1, 1, 4, 1, 42, 6, 1, 4, 2, 3, 1, 2, 6, 1, 3, 4, 1, 8, 1, 4, 1, 2, 2, 7, 1, 4, 1, 1, 3, 3, 1, 3, 1, 1, 7, 6, 1, 5, 10, 2, 2, 1, 8, 1, 2, 16, 24, 1, 6, 1, 8, 1, 1, 5, 1, 1, 1, 1, 1, 2, 1, 1, 3, 7, 1, 1, 10, 3, 2

Offset

0,2

Links

Harry J. Smith, Table of n, a(n) for n = 0..20000

Example

0.3010299956... = 0 + 1/(3 + 1/(3 + 1/(9 + 1/(2 + ...)))).

Mathematica

ContinuedFraction[Log[10, 2], 80] (* Harvey P. Dale, Apr 17 2012 *)

Prog

(PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(log(2)/log(10)); for (n=0, 20000, write("b028232.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Apr 15 2009

Crossrefs

Cf. A007524 (decimal expansion), A020862.

Sequence in context: A324895 A070517 A290408 * A225359 A060310 A093096

Adjacent sequences: A028229 A028230 A028231 * A028233 A028234 A028235

Keyword

nonn,cofr

Author

N. J. A. Sloane

Extensions

a(0)=0 prepended by Andrew Howroyd, Nov 26 2025

Status

approved