%I #7 Feb 07 2025 16:44:05
%S 1,9,6,1,7,2,7,9,5,1,6,4,6,5,3,9,8,4,1,6,0,9,6,2,7,4,0,1,6,7,6,7,5,3,
%T 1,7,0,0,7,7,8,3,6,6,8,4,9,9,8,3,0,8,2,9,5,0,5,7,0,5,7,6,7,3,8,9,1,0,
%U 2,8,9,7,3,8,3,4,9,5,9,4,4,0,0,0,1,3,6,6,9,6,3,9,2,1,8,5,1,9,0
%N Decimal expansion of x>0 satisfying 3*x^2-4x=4*sin(x).
%C See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.9617279516465398416096274016767531700...
%t a = 3; b = -4; c = 4;
%t f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
%t Plot[{f[x], g[x]}, {x, -.1, 2.3}]
%t r = x /. FindRoot[f[x] == g[x], {x, 1.96, 1.97}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198582 *)
%Y Cf. A198414.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Oct 27 2011