A245324 Decimal expansion of c_1, a constant associated with the computation of the maximal modulus of an algebraic integer.

4, 2, 1, 7, 9, 9, 3, 6, 1, 4, 8, 4, 4, 4, 2, 7, 6, 9, 7, 6, 8, 0, 7, 6, 1, 4, 6, 1, 0, 1, 8, 1, 7, 4, 4, 9, 6, 8, 8, 0, 3, 4, 8, 3, 8, 6, 1, 6, 0, 9, 9, 6, 9, 4, 0, 1, 3, 5, 9, 5, 5, 0, 1, 4, 7, 7, 0, 5, 7, 6, 7, 9, 5, 9, 3, 1, 8, 1, 3, 3, 6, 9, 8, 4, 4, 8, 1, 5, 6, 1, 2, 1, 3, 2, 4, 1, 0, 8, 2, 1, 8, 8, 7, 8, 7, 9, 7, 8

Offset: 0

Author

Jean-François Alcover, Jul 18 2014

Keywords

• nonn
• cons
• easy

Examples

			0.421799361484442769768076146101817449688034838616099694013595501477...
		

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
• Index entries for transcendental numbers

Crossrefs

Cf. A060006 (theta0).

Programs

Mathematica

theta0 = Root[x^3 - x - 1, x, 1]; RealDigits[(3/2)*Log[theta0], 10, 108] // First

Formula

c_1 = (3/2)*log(theta0), where theta0 is the smallest Pisot number, which is the real root of x^3 - x - 1.