A198126 Decimal expansion of least x having 2*x^2+2x=3*cos(x).

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

Offset: 1

Author

Clark Kimberling, Oct 22 2011

Keywords

• nonn
• cons

Comments

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

Examples

			least x: -1.303688236082731236157942349201731581...
greatest x: 0.68722829225254885401536676699761905...
		

Crossrefs

Cf. A197737.

Programs

Mathematica

a = 2; b = 2; c = 3;
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, -1.31, -1.30}, WorkingPrecision -> 110]
RealDigits[r1] (* A198126 *)
r2 = x /. FindRoot[f[x] == g[x], {x, .68, .69}, WorkingPrecision -> 110]
RealDigits[r2] (* A198127 *)