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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

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Last modified October 21 14:25 EDT 2014. Contains 248377 sequences.