Conway's Constant
The constant
(Sloane's A014715) giving the asymptotic rate of growth
of the number of Digits inthe 
th term of the Look and Say Sequence. 
is given by the largest Root of thePolynomial | |
 | |
 | |
 | |
 | |
 | |
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 | (1) |
is 1, 3,3, 2, 2, 54, 5, 2, 1, 16, 1, 30, 1, 1, 1, 2, 2, 1, 14, 1, ... (Sloane's A014967).See also Conway Sequence, Cosmological Theorem, Look and Say Sequence
References
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. ``Favorite Mathematical Constants.'' http://www.mathsoft.com/asolve/constant/cnwy/cnwy.html Sloane, N. J. A.A014715 andA014967 in ``An On-Line Version of the Encyclopedia of Integer Sequences.''http://www.research.att.com/~njas/sequences/eisonline.html. Vardi, I. Computational Recreations in Mathematica. Reading, MA: Addison-Wesley, pp. 13-14, 1991.
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