%I A138284
%S A138284 2,4,8,6,8,8,5,6,9,8,9,0,8,5,6,0,2,3,0,6,9,6,9,5,7,0,3,4,3,5,0,6,5,7,9,
%T A138284 7,9,4,2,2,8,2,8,5,5,2,8,8,8,8,3,1,4,7,8,9,7,8,2,3,9,7,8,1,6,1,9,0,4,3,
%U A138284 3,3,9,9,2,7,0,8,7,3,8,3,1,1,3,1,1,1,1,1,5,7,7,9,9,2,5,7,9,9,0,6,1,8,1
%N A138284 Decimal expansion of the negative real part of z0, the smallest second-quadrant 
               solution of z = Cos(z).
%C A138284 z0 is a repelling fixed point of Cos(z). The only fixed point on the 
               real axis is 0.73908... (A003957), which is an attracting fixed point.
%e A138284 2.486885698908560230696957...
%t A138284 z0 = FindRoot[{Re[Cos[x+I*y]]==x, Im[Cos[x+I*y]]==y}, {{x,-2},{y,2}}, 
               WorkingPrecision->150]; RealDigits[z0[[1,2]]]
%Y A138284 Cf. A138285 (imaginary part).
%Y A138284 Sequence in context: A046260 A086354 A014257 this_sequence A022478 A121711 
               A125597
%Y A138284 Adjacent sequences: A138281 A138282 A138283 this_sequence A138285 A138286 
               A138287
%K A138284 cons,nonn
%O A138284 1,1
%A A138284 T. D. Noe (noe(AT)sspectra.com), Mar 12 2008