A028507 Continued fraction expansion for log_2(3).

1, 1, 1, 2, 2, 3, 1, 5, 2, 23, 2, 2, 1, 1, 55, 1, 4, 3, 1, 1, 15, 1, 9, 2, 5, 7, 1, 1, 4, 8, 1, 11, 1, 20, 2, 1, 10, 1, 4, 1, 1, 1, 1, 1, 37, 4, 55, 1, 1, 49, 1, 1, 1, 4, 1, 3, 2, 3, 3, 1, 5, 16, 2, 3, 1, 1, 1, 1, 1, 5, 2, 1, 2, 8, 7, 1, 1, 2, 1, 1, 3, 3, 1, 1, 1, 1, 5, 4, 2, 2, 2, 16, 8, 10, 1, 25, 2, 1

Offset

0,4

Links

T. D. Noe, Table of n, a(n) for n = 0..9999

E. G. Dunne, Pianos and Continued Fractions

Terence Jackson and Keith Matthews, "On Shanks' Algorithm for Computing the Continued Fraction of log_b a" , Journal of Integer Sequences, Vol. 5 (2002), Article 02.2.7

T. H. Jackson & K. R. Matthews, The 1000 partial quotients of log_2(3)

Dave Rusin, Why 12 tones per octave? [Broken link]

Dave Rusin, Why 12 tones per octave? [Cached copy]

Example

log_2(3) = 1.5849625007211561814537389439...

Maple

Digits := 200: convert(evalf( log(3)/log(2) ), confrac);

Mathematica

ContinuedFraction[Log[2, 3], 120] (* Harvey P. Dale, Oct 24 2011 *)

Crossrefs

Cf. A005663, A005664, A020857 (decimal expansion).

Sequence in context: A370777 A088177 A335917 * A096226 A155980 A309531

Adjacent sequences: A028504 A028505 A028506 * A028508 A028509 A028510

Keyword

nonn,cofr,nice,easy

Author

Tony Smith (tsmith(AT)innerx.net)

Extensions

More terms from James A. Sellers, Sep 16 2000

Offset changed by Andrew Howroyd, Aug 07 2024

Status

approved