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%I #7 Aug 01 2021 11:06:39
%S 9,5,1,8,9,3,1,0,2,9,8,1,4,0,6,3,5,6,9,5,1,1,8,5,3,9,5,7,7,4,1,9,2,4,
%T 9,5,4,0,2,1,4,5,4,6,9,8,7,8,1,1,3,4,5,8,5,4,1,2,5,7,9,7,3,1,1,1,0,8,
%U 8,7,3,2,5,2,1,6,2,4,8,8,4,2,3,7,2,5,9,6,4,0,8,7,1,9,9,5,7,6,1
%N Decimal expansion of x > 0 having 3*x^2-2*x = sin(x).
%C See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%e 0.951893102981406356951185395774192495402145469...
%t a = 3; b = -2; c = 1;
%t f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
%t Plot[{f[x], g[x]}, {x, -.2, 1}]
%t r = x /. FindRoot[f[x] == g[x], {x, .95, .96}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198560 *)
%Y Cf. A198414.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Oct 26 2011
%E Offset corrected by _Georg Fischer_, Aug 01 2021
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