A198367 Decimal expansion of least x having 4*x^2+3x=4*cos(x).

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

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: -1.128864420523986139477004663061889573...
greatest x: 0.6060777836486264536657977579905629...
		

Crossrefs

Cf. A197737.

Programs

Mathematica

a = 4; b = 3; c = 4;
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, -1.2, -1.1}, WorkingPrecision -> 110]
RealDigits[r1] (* A198367 *)
r2 = x /. FindRoot[f[x] == g[x], {x, .60, .61}, WorkingPrecision -> 110]
RealDigits[r2] (* A198368 *)