The silver constant is the algebraic number given
by
(OEIS A116425), where 
denotes a polynomial
root.
Defining the nested radical expression
![x=RadicalBox[{7, +, 7, RadicalBox[{7, +, ...}, 3]}, 3],](/images/equations/SilverConstant/NumberedEquation1.svg) |
(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.
See also
Beraha Constants,
Logistic Map,
Nested Radical,
Plastic
Constant,
Silver Ratio,
Trigonometry
Angles--Pi/7
Explore with Wolfram|Alpha
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."Referenced
on Wolfram|Alpha
Silver Constant
Cite this as:
Weisstein, Eric W. "Silver Constant."
From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SilverConstant.html
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