A206291 Decimal expansion of the middle zero x(2) of the function F(x) = f(f(x)) - x, where f(x) = cos(x) - sin(x).

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

Offset: 0

Author

Roman Witula, Sep 22 2012

Keywords

• nonn
• cons

Comments

The decimal expansions of the other two zeros (x(1) and x(3)) of F(x) are A216891 and A216863, respectively. See the Comments at A216891 for more information on the properties of these zeros.

Examples

			We have f(x(2)) = x(2) = 0.45662470456763..., sin(x(2)) = 0.4409211... and x(2) - sin(x(2)) > 0.015703...
		

Links

• R. Witula, D. Slota and Szeged Problem Group "Fejentalaltuka", An Iteration Convergence: 11318[2007,745], Amer. Math. Monthly, 116, No. 7 (2009), 648-649.

Crossrefs

Cf. A216891, A216863, A215668, A215670, A215832, A215833, A168546.