A199467 - OEIS

%I #9 Feb 08 2025 09:59:54

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

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

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

%N Decimal expansion of greatest x satisfying x=3*sin(x).

%C See A199429 for a guide to related sequences. The Mathematica program includes a graph.

%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.

%e 2.2788626600758283126999511045618886288...

%t a = 1; b = -3; c = 0;

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

%t Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]

%t r = x /. FindRoot[f[x] == g[x], {x, 2.27, 2.28}, WorkingPrecision -> 110]

%t RealDigits[r]  (* A199467 *)

%Y Cf. A199429.

%K nonn,cons

%O 1,1

%A _Clark Kimberling_, Nov 07 2011