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%I #7 Aug 09 2021 07:54:06
%S 1,0,9,1,6,0,2,4,7,5,2,5,0,6,5,0,8,3,1,6,8,6,9,6,9,3,0,1,5,1,2,9,5,3,
%T 4,9,6,9,6,0,2,7,0,5,7,7,3,2,6,4,9,1,2,0,0,3,3,1,3,1,8,5,0,5,5,8,6,3,
%U 4,1,8,3,3,6,8,3,5,5,0,7,9,0,7,6,3,4,8,6,0,7,3,7,2,5,4,2,7,7,5
%N Decimal expansion of x>0 satisfying 2*x^2-3*cos(x)=1.
%C See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.091602475250650831686969301512953496960...
%t a = 2; b = -3; c = 1;
%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, 1.09, 1.1}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198879 *)
%Y Cf. A198755.
%K nonn,cons
%O 1,3
%A _Clark Kimberling_, Oct 31 2011
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