A198104 Decimal expansion of least x having x^2+3x=2*cos(x).

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

Offset: 1

Author

Clark Kimberling, Oct 21 2011

Keywords

• nonn
• cons

Comments

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

Examples

			least x: -2.38894934360890459687043267819730...
greatest x: 0.5010411864464903833151417790663...
		

Crossrefs

Cf. A197737.

Programs

Mathematica

a = 1; b = 3; c = 2;
f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x]
Plot[{f[x], g[x]}, {x, -3, 1}]
r1 = x /. FindRoot[f[x] == g[x], {x, -2.4, -2.3}, WorkingPrecision -> 110]
RealDigits[r1] (* A198104 *)
r2 = x /. FindRoot[f[x] == g[x], {x, .5, .51}, WorkingPrecision -> 110]
RealDigits[r2]  (* A198105 *)