A198565 - OEIS

%I #6 Feb 07 2025 16:44:05

%S 1,1,0,6,1,4,4,3,7,3,0,5,1,6,3,8,9,9,9,9,2,1,4,1,0,6,2,6,1,0,6,5,0,8,

%T 6,4,3,7,2,1,5,6,5,2,7,0,0,0,3,3,2,4,5,1,5,3,5,7,5,0,2,7,3,0,0,5,5,3,

%U 5,3,4,0,4,9,6,5,4,9,2,8,7,0,6,5,4,6,5,4,7,3,6,7,9,0,8,3,7,4,4

%N Decimal expansion of x>0 having 4*x^2-2x=3*sin(x).

%C See A198414 for a guide to related sequences. The Mathematica program includes a graph.

%e x=1.1061443730516389999214106261065086437215...

%t a = 4; b = -2; c = 3;

%t f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]

%t Plot[{f[x], g[x]}, {x, -.2, 1.3}]

%t r = x /. FindRoot[f[x] == g[x], {x, 1.06, 1.07}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198565 *)

%Y Cf. A198414.

%K nonn,cons,changed

%O 1,4

%A _Clark Kimberling_, Oct 26 2011