A198235 Decimal expansion of greatest x having 3*x^2+3x=4*cos(x).

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

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: -1.28838923732282692044695376198415263654...
greatest x: 0.646435567527722588379133828108743889...

Mathematica

a = 3; 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, -1.3, -1.2}, WorkingPrecision -> 110]
RealDigits[r1](* A198234 *)
r2 = x /. FindRoot[f[x] == g[x], {x, .64, .65}, WorkingPrecision -> 110]
RealDigits[r2](* A198235 *)

Crossrefs

Cf. A197737

Sequence in context: A254307 A346112 A176394 * A226294 A176000 A065445

Adjacent sequences: A198232 A198233 A198234 * A198236 A198237 A198238

Keyword

nonn,cons

Author

Clark Kimberling, Oct 23 2011

Status

approved