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A005663 Numerators of convergents to log_2 3.
(Formerly M0883)
5
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; internal format)
OFFSET

0,2

REFERENCES

R. E. Crandall, On the 3x+1 problem, Math. Comp., 32 (1978) 1281-1292.

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

E. G. Dunne, Pianos and Continued Fractions

Eric Weisstein's World of Music, Comma of Pythagoras

EXAMPLE

log_2 3 = 1.5849625007211561814537389439...

CROSSREFS

Cf. A005664, A028507, A020857.

Sequence in context: A148043 A007999 A006609 * A112834 A042697 A042905

Adjacent sequences:  A005660 A005661 A005662 * A005664 A005665 A005666

KEYWORD

frac,easy,nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from James A. Sellers (sellersj(AT)math.psu.edu), Sep 16 2000

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Last modified February 17 07:41 EST 2012. Contains 205998 sequences.