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%I #9 Aug 01 2021 11:33:07
%S 8,4,6,4,0,5,6,9,7,8,9,3,2,0,6,0,9,9,9,9,4,7,6,7,5,2,0,6,4,2,8,4,4,6,
%T 2,8,3,1,1,4,3,3,9,1,0,4,9,5,6,8,2,1,6,0,5,9,2,3,0,9,2,0,2,3,3,9,2,2,
%U 7,2,9,0,4,7,7,9,9,0,8,2,8,3,6,7,4,6,5,6,9,3,5,7,4,0,0,6,2,8,0,8,2,5,9,7,9,8,7
%N Decimal expansion of x > 0 having 3*x^2+x = 4*sin(x).
%C See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%e 0.84640569789320609999476752064284462...
%t a = 3; b = 1; c = 4;
%t f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
%t Plot[{f[x], g[x]}, {x, -1, 1}]
%t r = x /. FindRoot[f[x] == g[x], {x, .84, .85}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198500 *)
%Y Cf. A198414.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Oct 25 2011
%E a(97) onwards corrected by _Georg Fischer_, Aug 01 2021
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