%I #33 Jul 02 2023 02:00:47
%S 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,
%T 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,
%U 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
%N Decimal expansion of the middle zero x(2) of the function F(x) = f(f(x)) - x, where f(x) = cos(x) - sin(x).
%C 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.
%H R. Witula, D. Slota and Szeged Problem Group "Fejentalaltuka", <a href="https://www.jstor.org/stable/40391181">An Iteration Convergence: 11318[2007,745]</a>, Amer. Math. Monthly, 116, No. 7 (2009), 648-649.
%e We have f(x(2)) = x(2) = 0.45662470456763..., sin(x(2)) = 0.4409211... and x(2) - sin(x(2)) > 0.015703...
%Y Cf. A216891, A216863, A215668, A215670, A215832, A215833, A168546.
%K nonn,cons
%O 0,1
%A _Roman Witula_, Sep 22 2012