

A133866


Decimal expansion of the smallest positive fixed point of csc(x) (and csc^1(x)).


18



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

1,4


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. 3744. 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. 6667.


LINKS

Table of n, a(n) for n=1..105.
Eric Weisstein's World of Mathematics, Cosecant
Eric Weisstein's World of Mathematics, Fixed Point


EXAMPLE

1.1141571408719300873...


MATHEMATICA

x /. FindRoot[Csc[x] == x, {x, 1}, WorkingPrecision > 105] // RealDigits // First (* JeanFrançois Alcover, Feb 06 2013 *)


CROSSREFS

Sequence in context: A333341 A084890 A058662 * A242131 A177266 A272534
Adjacent sequences: A133863 A133864 A133865 * A133867 A133868 A133869


KEYWORD

nonn,cons


AUTHOR

Eric W. Weisstein, Sep 27 2007


STATUS

approved



