A199273 Decimal expansion of x<0 satisfying 2*x^2+3*x*cos(x)=1.

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

Offset

1,4

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: -1.11270716122321939210526043888351330910...
positive:  0.289505448385867415592179483198982452381...

Mathematica

a = 2; 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, -1.2, -1.1}, WorkingPrecision -> 110]
RealDigits[r]    (* A199273 *)
r = x /. FindRoot[f[x] == g[x], {x, .28, .29}, WorkingPrecision -> 110]
RealDigits[r]    (* A199274 *)

Crossrefs

Cf. A199170.

Sequence in context: A098198 A021791 A325905 * A196833 A245224 A016638

Adjacent sequences: A199270 A199271 A199272 * A199274 A199275 A199276

Keyword

nonn,cons

Author

Clark Kimberling, Nov 04 2011

Status

approved