A198238 Decimal expansion of least x having 3*x^2+4x=2*cos(x).

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

Offset: 1

Author

Clark Kimberling, Oct 23 2011

Keywords

• nonn
• cons

Comments

See A197737 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			least x: -1.40936392163577784477286936880153979511...
greatest x: 0.36624081566046371838415818869764440...
		

Crossrefs

Cf. A197737.

Programs

Mathematica

a = 3; b = 4; c = 2;
f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x]
Plot[{f[x], g[x]}, {x, -2, 1}]
r1 = x /. FindRoot[f[x] == g[x], {x, -1.5, -1.4}, WorkingPrecision -> 110]
RealDigits[r1](* A198238 *)
r2 = x /. FindRoot[f[x] == g[x], {x, .36, .37}, WorkingPrecision -> 110]
RealDigits[r2](* A198239 *)