A198363 Decimal expansion of least x having 4*x^2+3x=2*cos(x).

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

Offset: 1

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: -1.0119640719541596551643922516868104...
greatest x: 0.4003039952551859146306371868342035...
		

Crossrefs

Cf. A197737.

Programs

Mathematica

a = 4; b = 3; 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, -1.1, -1.0}, WorkingPrecision -> 110]
RealDigits[r1] (* A198363 *)
r2 = x /. FindRoot[f[x] == g[x], {x, .4, .41}, WorkingPrecision -> 110]
RealDigits[r2] (* A198364 *)