A199286 Decimal expansion of x>0 satisfying 3*x^2+2*x*cos(x)=1.

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

Offset

0,1

Comments

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

Links

Table of n, a(n) for n=0..98.

Example

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

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 *)

Crossrefs

Cf. A199170.

Sequence in context: A275638 A281975 A133617 * A188722 A257526 A038774

Adjacent sequences: A199283 A199284 A199285 * A199287 A199288 A199289

Keyword

nonn,cons

Author

Clark Kimberling, Nov 05 2011

Status

approved