The constant
(Sloane's A014715) giving the asymptotic rate of growth  of the
number of digits in the  th term of the look and say sequence, given
by the unique positive real root of the polynomial
illustrated in the figure above. Note that the polynomial
given in Conway (1987, p. 188) contains a misprint.
The continued fraction for  is 1, 3, 3, 2, 1, 2, 1, 5, 8, 4, 14, 3, 1,
... (Sloane's A014967).
Conway, J. H. "The Weird and Wonderful Chemistry of Audioactive Decay." §5.11 in Open Problems in Communications and Computation (Ed. T. M. Cover
and B. Gopinath). New York: Springer-Verlag, pp. 173-188, 1987.
Conway, J. H. and Guy, R. K. "The Look and Say Sequence." In The Book of Numbers. New York: Springer-Verlag, pp. 208-209,
1996.
Finch, S. R. "Conway's Constant." §6.12 in Mathematical Constants. Cambridge, England: Cambridge University
Press, pp. 452-455, 2003.
Hilgemeier, M. "Die Gleichniszahlen-Reihe." Bild der Wissensch. 12,
194-196, Dec. 1986.
Hilgemeier, M. "'One Metaphor Fits All': A Fractal Voyage with Conway's Audioactive Decay." Ch. 7 in Fractal Horizons: The Future Use of Fractals (Ed. C. A. Pickover).
New York: St. Martin's Press, 1996.
Sloane, N. J. A. Sequences A014715 and A014967 in "The On-Line Encyclopedia of Integer Sequences."
Vardi, I. Computational Recreations in Mathematica. Reading,
MA: Addison-Wesley, pp. 13-14, 1991.
Wolfram, S. A New Kind of Science. Champaign, IL: Wolfram Media, p. 905,
2002.
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