login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A005663 Numerators of convergents to log_2(3) = log(3)/log(2).
(Formerly M0883)
7
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
R. E. Crandall, On the 3x+1 problem, Math. Comp., 32 (1978) 1281-1292.
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
Sequence in context: A303835 A007999 A006609 * A112834 A042697 A042905
KEYWORD
frac,easy,nonn
AUTHOR
EXTENSIONS
More terms from James A. Sellers, Sep 16 2000
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 22 13:05 EDT 2024. Contains 374499 sequences. (Running on oeis4.)