A198219 Decimal expansion of greatest x having 3*x^2+x=3*cos(x).

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

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: -0.9482546077391736629641733347557465036...
greatest x: 0.7172851708025793726802507282821169153444...

Mathematica

a = 3; b = 1; c = 3;
f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x]
Plot[{f[x], g[x]}, {x, -1, 1}]
r1 = x /. FindRoot[f[x] == g[x], {x, -1, -.9}, WorkingPrecision -> 110]
RealDigits[r1] (* A198218 *)
r2 = x /. FindRoot[f[x] == g[x], {x, .7, .8}, WorkingPrecision -> 110]
RealDigits[r2] (* A198219 *)

Crossrefs

Cf. A197737.

Sequence in context: A356948 A363150 A317846 * A198580 A160798 A033953

Adjacent sequences: A198216 A198217 A198218 * A198220 A198221 A198222

Keyword

nonn,cons

Author

Clark Kimberling, Oct 22 2011

Status

approved