A199159 Decimal expansion of x>0 satisfying 3*x^2+3*sin(x)=1.

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

Offset: 0

Author

Clark Kimberling, Nov 03 2011

Keywords

• nonn
• cons

Comments

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

Examples

			negative: -1.1082694473937105467280082158614997423379...
positive:  0.2658016271983479815831296920342773310942...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A198866.

Programs

Mathematica

a = 3; b = 3; c = 1;
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, -1.2, -1.1}, WorkingPrecision -> 110]
RealDigits[r]   (* A199158 *)
r = x /. FindRoot[f[x] == g[x], {x, .26, .27}, WorkingPrecision -> 110]
RealDigits[r]   (* A199159 *)