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%I #7 Aug 09 2021 07:55:18
%S 1,3,5,1,4,4,2,8,9,2,9,4,2,0,7,9,0,4,9,6,9,5,5,5,4,7,8,0,3,6,6,3,0,4,
%T 9,3,9,3,8,3,1,2,2,1,3,0,4,4,0,7,7,3,5,6,5,6,4,7,3,3,3,3,7,1,0,7,8,7,
%U 7,5,6,4,7,4,0,7,7,8,2,4,5,5,0,3,3,3,5,1,8,6,3,6,9,3,6,7,6,7,1,5,7
%N Decimal expansion of x>0 satisfying 2*x^2-3*cos(x)=3.
%C See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.351442892942079049695554780366304939383122...
%t a = 2; b = -3; 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, 1.35, 1.36}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198881 *)
%Y Cf. A198755.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Oct 31 2011
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