%I #6 Feb 07 2025 16:44:05
%S 2,4,5,0,1,2,4,0,4,2,4,6,2,6,1,5,0,1,4,0,8,2,4,5,3,0,6,8,3,6,8,1,1,1,
%T 3,4,4,4,2,8,1,5,6,5,1,3,8,6,8,0,1,2,4,2,1,1,1,7,9,6,5,5,0,9,7,9,7,6,
%U 9,6,1,0,7,0,8,2,5,0,3,5,0,0,0,3,5,8,1,9,7,3,1,8,4,6,6,4,6,9,2
%N Decimal expansion of x>0 having 4*x^2+x=2*sin(x).
%C See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%e x=0.24501240424626150140824530683681113444...
%t a = 4; b = 1; c = 2;
%t f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
%t Plot[{f[x], g[x]}, {x, -.2, .4}]
%t r = x /. FindRoot[f[x] == g[x], {x, .24, .25}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198505 *)
%Y Cf. A198414.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Oct 25 2011