A198579 - OEIS

%I #7 Feb 07 2025 16:44:05

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

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

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

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

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

%e x=1.5485369526106561262431225412493697503398393...

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

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

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

%t r = x /. FindRoot[f[x] == g[x], {x, 1.54, 1.55}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198579 *)

%Y Cf. A198414.

%K nonn,cons,changed

%O 1,2

%A _Clark Kimberling_, Oct 27 2011