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A005663 Numerators of convergents to log_2 3.
(Formerly M0883)
+0
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; listen)
OFFSET

0,2

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

R. K. Guy, personal communication.

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

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.

Adjacent sequences: A005660 A005661 A005662 this_sequence A005664 A005665 A005666

Sequence in context: A148043 A007999 A006609 this_sequence A112834 A042697 A042905

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 November 8 20:39 EST 2009. Contains 166234 sequences.


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