OFFSET
0,1
REFERENCES
Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 2.30 Pisot-Vijayaraghavan-Salem Constants, p. 194.
LINKS
David W. Boyd, The Maximal Modulus of an Algebraic Integer. Mathematics of Computation, Vol. 45, No. 171, Jul., 1985, pp. 243-249.
Eric Weisstein's MathWorld, Pisot Number
Eric Weisstein's MathWorld, Plastic Constant
FORMULA
c_1 = (3/2)*log(theta0), where theta0 is the smallest Pisot number, which is the real root of x^3 - x - 1.
EXAMPLE
0.421799361484442769768076146101817449688034838616099694013595501477...
MATHEMATICA
theta0 = Root[x^3 - x - 1, x, 1]; RealDigits[(3/2)*Log[theta0], 10, 108] // First
CROSSREFS
KEYWORD
AUTHOR
Jean-François Alcover, Jul 18 2014
STATUS
approved