|
%I #9 Aug 23 2015 15:22:19
%S 9,6,4,4,2,0,4,4,6,8,5,1,1,0,3,3,9,9,2,6,0,3,5,6,9,0,9,1,2,4,7,2,7,2,
%T 0,6,5,1,4,3,3,9,5,4,3,6,0,4,6,8,2,7,4,8,9,4,8,5,5,2,7,3,1,6,7,3,1,8,
%U 0,2,3,9,9,9,0,9,4,8,1,8,4,2,2,4,7,0,3,6,2,1,2,7,2,7,3,0,8,4,4
%N Decimal expansion of x>0 satisfying 2*x^2+2*cos(x)=3.
%C See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%e x=0.96442044685110339926035690912472720651433...
%t a = 2; b = 2; c = 3;
%t f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
%t Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, .94, .95}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198869 *)
%Y Cf. A198755.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Oct 31 2011
|
