“Conway's Constant”的概念、定义、习题解题方法及翻译-数学辞典

单词

Conway's Constant

释义

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









	(1)

The Polynomial given in Conway (1987, p. 188) contains a misprint. The Continued Fraction for

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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