A198619 Decimal expansion of x<0 satisfying 3*x^2+4x=3*sin(x).

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

Offset: 0

Author

Clark Kimberling, Oct 28 2011

Keywords

• nonn
• cons

Comments

See A198414 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			-0.3541005773100771702109022626063154529459659...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A198414.

Programs

Mathematica

a = 3; b = 4; c = 3;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.5, .1}]
r = x /.
  FindRoot[f[x] == g[x], {x, -.36, -.35}, WorkingPrecision -> 110]
RealDigits[r]   (* A198619 *)