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 A005663 Numerators of convergents to log_2(3) = log(3)/log(2). (Formerly M0883) 6
 1, 2, 3, 8, 19, 65, 84, 485, 1054, 24727, 50508, 125743, 176251, 301994, 16785921, 17087915, 85137581, 272500658, 357638239, 630138897, 9809721694, 10439860591, 103768467013, 217976794617, 1193652440098, 8573543875303 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 REFERENCES R. K. Guy, personal communication. 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 E. G. Dunne, Pianos and Continued Fractions R. K. Guy, Letter to N. J. A. Sloane, 1977 Eric Weisstein's World of Music, Comma of Pythagoras EXAMPLE log_2(3) = 1.5849625007211561814537389439... MATHEMATICA Numerator[Convergents[Log[2, 3], 30]] (* Harvey P. Dale, Sep 10 2015 *) PROG (PARI) a(n) = component(component(contfracpnqn(contfrac(log(3)/log(2), n)), 1), 1) \\ Michel Marcus, May 20 2013 CROSSREFS Cf. A005664, A028507, A020857. Sequence in context: A303835 A007999 A006609 * A112834 A042697 A042905 Adjacent sequences:  A005660 A005661 A005662 * A005664 A005665 A005666 KEYWORD frac,easy,nonn AUTHOR EXTENSIONS More terms from James A. Sellers, Sep 16 2000 STATUS approved

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Last modified April 11 18:59 EDT 2021. Contains 342888 sequences. (Running on oeis4.)