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A133868
Decimal expansion of the smallest positive fixed point of sec(x).
17
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
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
KEYWORD
nonn,cons
AUTHOR
Eric W. Weisstein, Sep 27 2007
STATUS
approved