|
| |
|
|
A206291
|
|
The decimal expansion of the middle zero x(2) of the function F(x) = f(f(x)) - x, where f(x) = cos(x) - sin(x).
|
|
3
|
|
|
|
4, 5, 6, 6, 2, 4, 7, 0, 4, 5, 6, 7, 6, 3, 0, 8, 2, 4, 4, 3, 7, 6, 9, 7, 4, 5, 7, 1, 2, 8, 4, 5, 7, 3, 7, 5, 8, 9, 8, 2, 3, 1, 6, 1, 3, 8, 9, 2, 2, 5, 6, 3, 2, 5, 2, 4, 2, 2, 7, 8, 2, 3, 0, 7, 7, 3, 4, 5, 3, 8, 6, 2, 9, 0, 0, 6, 4, 2, 2, 9, 7, 0, 2, 9, 1, 4, 3, 1, 8, 9, 9, 3, 0, 1, 7, 7, 1, 5, 8, 8, 6, 8, 4, 6, 1
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,1
|
|
|
COMMENTS
|
The decimal expansions of two remaining zeros x(1) and x(3) of F(x) in A216891 and A216863 are presented. Also more informations on properties of these zeros in Comments to A216891 is given.
|
|
|
REFERENCES
|
R. Witula, D. Slota and Szeged Problem Group "Fejentalaltuka", An Iteration Convergence: 11318[2007,745], Amer. Math. Monthly, 116 No 7 (2009), 648-649.
|
|
|
LINKS
|
Table of n, a(n) for n=0..104.
|
|
|
EXAMPLE
|
We have f(x(2)) = x(2) = 0.45662470456763..., sin(x(2)) = 0.4409211... and x(2) - sin(x(2)) > 0.015703...
|
|
|
CROSSREFS
|
Cf. A216891, A216863, A215668, A215670, A215832, A215833, A168546.
Sequence in context: A134299 A112780 A021223 * A058979 A225491 A046343
Adjacent sequences: A206288 A206289 A206290 * A206292 A206293 A206294
|
|
|
KEYWORD
|
nonn,cons
|
|
|
AUTHOR
|
Roman Witula, Sep 22 2012
|
|
|
STATUS
|
approved
|
| |
|
|
