Silver Constant
The silver constant is the algebraic number given by
(OEIS A116425), where 
denotes a polynomial root.
Defining the nested radical expression
![x=RadicalBox[<span style=]() {7, +, 7, RadicalBox[{7, +, ...}, 3]}, 3], " src="http://mathworld.wolfram.com/images/equations/SilverConstant/NumberedEquation1.gif" style="height:26px; width:130px" /> |
(4)
|
the silver constant is given by
 |
(5)
|
(T. Piezas, pers. comm., Feb. 16, 2006).
The silver constant is the seventh Beraha constant. Surprisingly, it also appears in the 3-cycle of the logistic map.
REFERENCES:
Le Lionnais, F. Les nombres remarquables. Paris: Hermann, pp. 51 and 143, 1983.
Saaty, T. L. and Kainen, P. C. The Four-Color Problem: Assaults and Conquest. New York: Dover, p. 162, 1986.
Sloane, N. J. A. Sequence A116425 in "The On-Line Encyclopedia of Integer Sequences."
