A198506 - OEIS

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

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

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

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

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

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

%e x=0.47241289894879831863122330183414454730...

%t a = 4; b = 1; c = 3;

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

%t Plot[{f[x], g[x]}, {x, -.2, .6}]

%t r = x /. FindRoot[f[x] == g[x], {x, .47, .48}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198506 *)

%Y Cf. A198414.

%K nonn,cons,changed

%O 0,1

%A _Clark Kimberling_, Oct 25 2011