A199289 Decimal expansion of x<0 satisfying 3*x^2+2*x*cos(x)=3.

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

Offset

1,3

Comments

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

Links

Table of n, a(n) for n=1..99.

Example

negative: -1.1465729939312446659051094914162065825...
positive:  0.79310716512209201308469669867166689386...

Mathematica

a = 3; b = 2; c = 3;
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, -1.2, -1.1}, WorkingPrecision -> 110]
RealDigits[r]    (* A199289 *)
r = x /. FindRoot[f[x] == g[x], {x, .79, .80}, WorkingPrecision -> 110]
RealDigits[r]    (* A199290 *)

Crossrefs

Cf. A199170.

Sequence in context: A140243 A366872 A343470 * A306341 A306654 A368358

Adjacent sequences: A199286 A199287 A199288 * A199290 A199291 A199292

Keyword

nonn,cons

Author

Clark Kimberling, Nov 05 2011

Status

approved