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A005663
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Numerators of convergents to log_2(3) = log(3)/log(2).
(Formerly M0883)
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7
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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
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OFFSET
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0,2
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REFERENCES
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R. K. Guy, personal communication.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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EXAMPLE
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log_2(3) = 1.5849625007211561814537389439...
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MATHEMATICA
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Numerator[Convergents[Log[2, 3], 30]] (* Harvey P. Dale, Sep 10 2015 *)
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PROG
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(PARI) a(n) = component(component(contfracpnqn(contfrac(log(3)/log(2), n)), 1), 1) \\ Michel Marcus, May 20 2013
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CROSSREFS
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KEYWORD
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frac,easy,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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