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.
%I A112732 #11 May 12 2025 11:35:15 %S A112732 1,2,5,7,12,19,31,174,205,789,2572,3361,9294,12655,97879,7647217, %T A112732 15392313,207747286,1054128743,2316004772,24214176463,74958534161, %U A112732 174131244785,3557583429861,3731714674646,14752727453799,77495351943641 %N A112732 Denominators of the convergents to the continued fraction for log_2(5)/4. %C A112732 This is the fifth of 1/4-comma meantone temperament and hence of significance in music theory, as these represent equal divisions of the octave in which the circle of fifths nearly closes. The sequence is therefore closely related to A005664. %H A112732 Tonalsoft Encyclopedia, <a href="http://www.tonalsoft.com/enc/number/1-4cmt.aspx">Quarter-comma meantone</a> %H A112732 Wikipedia, <a href="http://en.wikipedia.org/wiki/Quarter-comma_meantone">Quarter-comma meantone</a> %t A112732 Rest[Denominator[Convergents[(Log[5]/(4 Log[2])),50]]] (* _Peter J. C. Moses_, Oct 05 2014 *) %t A112732 Rest[Convergents[Log2[5]/4,50]//Denominator] (* _Harvey P. Dale_, May 12 2025 *) %Y A112732 Cf. A005664. %K A112732 nonn %O A112732 0,2 %A A112732 _Gene Ward Smith_, Dec 31 2005