A199282 Decimal expansion of x>0 satisfying 3*x^2+x*cos(x)=2.

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

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: -0.923207967022272918085370562946372...
positive:  0.6988053514945826378907251192096740...

Mathematica

a = 3; b = 1; c = 2;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -1, 1}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -1, -.9}, WorkingPrecision -> 110]
RealDigits[r]     (* A199281 *)
r = x /. FindRoot[f[x] == g[x], {x, .69, .70}, WorkingPrecision -> 110]
RealDigits[r]     (* A199282 *)

Crossrefs

Cf. A199170.

Sequence in context: A374643 A340808 A233589 * A133614 A255674 A019753

Adjacent sequences: A199279 A199280 A199281 * A199283 A199284 A199285

Keyword

nonn,cons

Author

Clark Kimberling, Nov 05 2011

Status

approved