%I #7 Aug 09 2021 07:52:02
%S 1,2,8,1,6,3,0,3,8,6,1,5,9,9,6,2,1,1,0,4,2,9,9,0,6,6,7,9,6,2,0,0,1,9,
%T 4,3,1,6,4,9,7,2,1,0,9,0,8,3,6,3,6,6,0,0,0,3,9,9,8,1,0,6,3,6,5,4,9,7,
%U 4,9,4,3,3,8,4,3,5,8,0,8,9,7,3,4,3,4,0,6,8,2,8,6,1,1,4,6,0,0,4
%N Decimal expansion of x>0 satisfying 2*x^2-cos(x)=3.
%C See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.28163038615996211042990667962001943164972109...
%t a = 2; b = -1; 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, 1.2, 1.3}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198873 *)
%Y Cf. A198755.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Oct 31 2011
|