Silver Constant

The silver constant is the algebraic number given by


(OEIS A116425), where (P(x))_n denotes a polynomial root.

Defining the nested radical expression

 x=RadicalBox[{7, +, 7, RadicalBox[{7, +, ...}, 3]}, 3],

the silver constant is given by


(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


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.

Subject classifications