%I #6 Feb 07 2025 16:44:05
%S 5,9,0,5,1,5,7,3,7,9,3,9,5,5,8,9,6,4,6,2,8,8,7,1,7,3,7,8,1,9,3,3,8,3,
%T 0,3,0,4,8,7,0,7,1,2,1,9,5,1,0,6,0,5,7,6,0,4,8,9,1,2,2,2,1,6,0,5,7,3,
%U 3,2,4,8,9,6,3,8,2,7,3,0,7,4,3,6,7,6,0,6,8,8,3,4,2,6,1,4,9,7,0
%N Decimal expansion of x>0 satisfying 3*x^2+2x=4*sin(x).
%C See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%e x=0.590515737939558964628871737819338303048...
%t a = 3; b = 2; 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, .59, .6}, WorkingPrecision -> 110]
%t RealDigits[r](* A198615 *)
%Y Cf. A198414.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Oct 28 2011