A198372 Decimal expansion of greatest x having 4*x^2+4x=3*cos(x).

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

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: -1.21501298426435245704887128499150254...
greatest x: 0.460194997750930971424797277964558861...
		

Crossrefs

Cf. A197737.

Programs

Mathematica

a = 4; b = 4; 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, -1.3, -1.2}, WorkingPrecision -> 110]
RealDigits[r1] (* A198371 *)
r2 = x /. FindRoot[f[x] == g[x], {x, .46, .47}, WorkingPrecision -> 110]
RealDigits[r2] (* A198372 *)