A199433 - OEIS

%I #8 Feb 07 2025 20:08:55

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

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

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

%N Decimal expansion of x>0 satisfying x^2+2*x*sin(x)=2*cos(x).

%C See A199370 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 0.7268924078543361944600244295359554167196621...

%t a = 1; b = 2; c = 2;

%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, .72, .73}, WorkingPrecision -> 110]

%t RealDigits[r]  (* A199433 *)

%Y Cf. A199429.

%K nonn,cons,changed

%O 0,1

%A _Clark Kimberling_, Nov 06 2011