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 A005664 Denominators of convergents to log_2 3. (Formerly M1428) 14
 1, 1, 2, 5, 12, 41, 53, 306, 665, 15601, 31867, 79335, 111202, 190537, 10590737, 10781274, 53715833, 171928773, 225644606, 397573379, 6189245291, 6586818670, 65470613321, 137528045312, 753110839881, 5409303924479, 6162414764360 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 REFERENCES N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS T. D. Noe, Table of n, a(n) for n = 0..200 R. E. Crandall, On the 3x+1 problem, Math. Comp., 32 (1978) 1281-1292. E. G. Dunne, Pianos and Continued Fractions R. K. Guy, Letter to N. J. A. Sloane, 1977 David Ryan, An algorithm to assign musical prime commas to every prime number and construct a universal and compact free Just Intonation musical notation, Preprint, arXiv preprint arXiv:1612.01860, 2016 Eric Weisstein's World of Music, Comma of Pythagoras EXAMPLE log_2 3 = 1.5849625007211561814537389439... MATHEMATICA Convergents[Log[2, 3], 30] // Denominator (* Jean-François Alcover, Dec 12 2016 *) PROG (PARI) a(n) = component(component(contfracpnqn(contfrac(log(3)/log(2), n)), 1), 2) \\ Michel Marcus, May 20 2013 CROSSREFS Cf. A005663, A028507, A020857. Sequence in context: A054581 A203151 A140440 * A009739 A062272 A215789 Adjacent sequences:  A005661 A005662 A005663 * A005665 A005666 A005667 KEYWORD nonn,frac,easy AUTHOR EXTENSIONS More terms from James A. Sellers, Sep 16 2000 STATUS approved

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Last modified June 21 10:09 EDT 2021. Contains 345360 sequences. (Running on oeis4.)