|
|
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
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
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. 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, Cosecant
|
|
EXAMPLE
|
1.1141571408719300873...
|
|
MATHEMATICA
|
x /. FindRoot[Csc[x] == x, {x, 1}, WorkingPrecision -> 105] // RealDigits // First (* Jean-François Alcover, Feb 06 2013 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|