A198144 Decimal expansion of least x having x^2-4x=-3*cos(x).

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

Offset

0,1

Comments

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

Links

Table of n, a(n) for n=0..98.

Example

least x: 0.69658584777906580198659243463275435885...
greatest x: 4.28804762370313657874580002787893697...

Mathematica

a = 1; b = -4; c = -3;
f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x]
Plot[{f[x], g[x]}, {x, -1, 5}]
r1 = x /. FindRoot[f[x] == g[x], {x, 0.69, 0.70}, WorkingPrecision -> 110]
RealDigits[r1] (* A198144 *)
r2 = x /. FindRoot[f[x] == g[x], {x, 4.28, 4.29}, WorkingPrecision -> 110]
RealDigits[r2] (* A198145 *)

Crossrefs

Cf. A197737.

Sequence in context: A196462 A242814 A239808 * A154394 A126599 A260230

Adjacent sequences: A198141 A198142 A198143 * A198145 A198146 A198147

Keyword

nonn,cons

Author

Clark Kimberling, Oct 21 2011

Status

approved