A198358 Decimal expansion of greatest x having 4*x^2+2x=cos(x).

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

Offset: 0

Author

Clark Kimberling, Oct 24 2011

Keywords

• nonn
• cons

Comments

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

Examples

			least x: -0.7460743621285644617325741898565306735...
greatest x: 0.29900587455031735703746835072454193932...
		

Crossrefs

Cf. A197737.

Programs

Mathematica

a = 4; b = 2; c = 1;
f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x]
Plot[{f[x], g[x]}, {x, -1, 1}]
r1 = x /. FindRoot[f[x] == g[x], {x, -.8, -.7}, WorkingPrecision -> 110]
RealDigits[r1] (* A198357 *)
r2 = x /. FindRoot[f[x] == g[x], {x, .29, .30}, WorkingPrecision -> 110]
RealDigits[r2] (* A198358 *)