A199079 Decimal expansion of x>0 satisfying 3*x^2+sin(x)=2.

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

Offset

0,1

Comments

See A198866 for a guide to related sequences. The Mathematica program includes a graph.

Links

Table of n, a(n) for n=0..98.

Index entries for transcendental numbers.

Example

negative: -0.97041584163559044784359265743084410...
positive:  0.676701594073077874194855720384016697...

Mathematica

a = 3; b = 1; c = 2;
f[x_] := a*x^2 + b*Sin[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
r = x /.
  FindRoot[f[x] == g[x], {x, -.98, -.97}, WorkingPrecision -> 110]
RealDigits[r]   (* A199078 *)
r = x /. FindRoot[f[x] == g[x], {x, .67, .68}, WorkingPrecision -> 110]
RealDigits[r]   (* A199079 *)

Crossrefs

Cf. A198866.

Sequence in context: A343436 A186282 A171909 * A010723 A244588 A336002

Adjacent sequences: A199076 A199077 A199078 * A199080 A199081 A199082

Keyword

nonn,cons

Author

Clark Kimberling, Nov 03 2011

Status

approved