A198142 Decimal expansion of least x having x^2-3x=-3*cos(x).

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

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: 0.89291071141777527373996831831704569...
greatest x: 3.6923477739279898601828477062994010...

Mathematica

a = 1; b = -3; c = -3;
f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x]
Plot[{f[x], g[x]}, {x, -1, 4}]
r1 = x /. FindRoot[f[x] == g[x], {x, 0.89, 0.90}, WorkingPrecision -> 110]
RealDigits[r1] (* A198142 *)
r2 = x /. FindRoot[f[x] == g[x], {x, 3.6, 3.7}, WorkingPrecision -> 110]
RealDigits[r2] (* A198143 *)

Crossrefs

Cf. A197737.

Sequence in context: A021116 A201406 A242972 * A336056 A202623 A266261

Adjacent sequences: A198139 A198140 A198141 * A198143 A198144 A198145

Keyword

nonn,cons

Author

Clark Kimberling, Oct 21 2011

Status

approved