A199291 Decimal expansion of x < 0 satisfying 3*x^2 + 3*x*cos(x) = 1.

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

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..102.

Example

negative: -0.942013171745925470278385478816333...
positive:  0.2701502896318032580209778461269860...

Mathematica

a = 3; b = 3; c = 1;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -1, -.9}, WorkingPrecision -> 110]
RealDigits[r]     (* A199291 *)
r = x /. FindRoot[f[x] == g[x], {x, .27, .28}, WorkingPrecision -> 110]
RealDigits[r]    (* A199292 *)

Crossrefs

Cf. A199170, A199292.

Sequence in context: A292684 A330274 A248197 * A091661 A362943 A011313

Adjacent sequences: A199288 A199289 A199290 * A199292 A199293 A199294

Keyword

nonn,cons

Author

Clark Kimberling, Nov 05 2011

Extensions

a(92) onwards corrected by Georg Fischer, Aug 03 2021

Status

approved