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

0,1

References

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 2.30 Pisot-Vijayaraghavan-Salem Constants, p. 194.

Links

Table of n, a(n) for n=0..107.

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

Cf. A060006 (theta0).

Sequence in context: A010645 A326772 A249206 * A039962 A046741 A136249

Adjacent sequences: A245321 A245322 A245323 * A245325 A245326 A245327

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Jul 18 2014

Status

approved