cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A206788 Denominators of semiconvergents to log_2(3), which equals log(3)/log(2).

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%I A206788 #8 Mar 31 2012 10:28:58
%S A206788 1,1,2,3,5,7,12,17,29,41,53,94,147,200,253,306,359,665,971,1636,2301,
%T A206788 2966,3631,4296,4961,5626,6291,6956,7621,8286,8951,9616,10281,10946,
%U A206788 11611,12276,12941,13606,14271,14936,15601,16266,31867,47468,79335,111202,190537
%N A206788 Denominators of semiconvergents to log_2(3), which equals log(3)/log(2).
%C A206788 These are also equal divisions of the octave that have good approximations of the 3rd harmonic (and hence other Pythagorean intervals such as 3/2, 4/3, 9/8 etc.).
%C A206788 The semiconvergents are important musically as the cardinalities of MOS scales of Pythagorean tuning.
%H A206788 Wikipedia, <a href="http://en.wikipedia.org/wiki/Continued_fraction#Semiconvergents">Definition of continued fraction semiconvergents</a>
%Y A206788 Cf. A028507 (continued fraction expansion), A005664 (denominators of convergents).
%K A206788 nonn,frac,easy
%O A206788 1,3
%A A206788 _Keenan Pepper_, Feb 12 2012