A199275 Decimal expansion of x<0 satisfying 2*x^2+3*x*cos(x)=2.

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

Offset

1,2

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: -1.25750748269679781262452282006866921022...
positive:  0.547005740546889576436923247150755725087...

Mathematica

a = 2; b = 3; c = 2;
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, -1.3, -1.2}, WorkingPrecision -> 110]
RealDigits[r]    (* A199275 *)
r = x /. FindRoot[f[x] == g[x], {x, .54, .55}, WorkingPrecision -> 110]
RealDigits[r]    (* A199276 *)

Crossrefs

Cf. A199170.

Sequence in context: A349047 A098486 A138320 * A135007 A082880 A257321

Adjacent sequences: A199272 A199273 A199274 * A199276 A199277 A199278

Keyword

nonn,cons

Author

Clark Kimberling, Nov 04 2011

Status

approved