A133868 Decimal expansion of the smallest positive fixed point of sec(x).

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

Offset

1,1

References

Mohammad K. Azarian, On the Fixed Points of a Function and the Fixed Points of its Composite Functions, International Journal of Pure and Applied Mathematics, Vol. 46, No. 1, 2008, pp. 37-44. Mathematical Reviews, MR2433713 (2009c:65129), March 2009. Zentralblatt MATH, Zbl 1160.65015.

Mohammad K. Azarian, Fixed Points of a Quadratic Polynomial, Problem 841, College Mathematics Journal, Vol. 38, No. 1, January 2007, p. 60. Solution published in Vol. 39, No. 1, January 2008, pp. 66-67.

Links

Table of n, a(n) for n=1..105.

Eric Weisstein's World of Mathematics, Secant

Eric Weisstein's World of Mathematics, Fixed Point

Example

4.9171859252871323839...

Mathematica

RealDigits[ x /. FindRoot[ Sec[x] == x, {x, 5}, WorkingPrecision -> 105]][[1]] (* Jean-François Alcover, Oct 22 2012 *)

Crossrefs

Sequence in context: A120865 A219031 A243452 * A295709 A316295 A199788

Adjacent sequences: A133865 A133866 A133867 * A133869 A133870 A133871

Keyword

nonn,cons

Author

Eric W. Weisstein, Sep 27 2007

Status

approved