A198936 - OEIS

%I #8 Feb 07 2025 17:56:43

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

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

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

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

%C See A198755 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 0.4487117711590984809439407637197106050174500...

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

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

%t Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]

%t r = x /. FindRoot[f[x] == g[x], {x, .44, .45}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198936 *)

%Y Cf. A198755.

%K nonn,cons,changed

%O 0,1

%A _Clark Kimberling_, Nov 01 2011