A199285 Decimal expansion of x<0 satisfying 3*x^2+2*x*cos(x)=1.

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

Offset: 0

Author

Clark Kimberling, Nov 05 2011

Keywords

• nonn
• cons

Comments

See A199170 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			negative: -0.840914700055474492704399020053615852...
positive:  0.3432728196270004264786970275097026953...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A199170.

Programs

Mathematica

a = 3; b = 2; c = 1;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -.85, -.84}, WorkingPrecision -> 110]
RealDigits[r]    (* A199285 *)
r = x /. FindRoot[f[x] == g[x], {x, .34, .35}, WorkingPrecision -> 110]
RealDigits[r]    (* A199286 *)