A198223 Decimal expansion of greatest x having 3*x^2+2x=cos(x).

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

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: -0.8979912178157737232709434745512383...
greatest x: 0.320480477969135711421623476182676393...

Mathematica

a = 3; b = 2; c = 1;
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, -.9, -.8}, WorkingPrecision -> 110]
RealDigits[r1] (* A198222 *)
r2 = x /. FindRoot[f[x] == g[x], {x, .3, .4}, WorkingPrecision -> 110]
RealDigits[r2] (* A198223 *)

Crossrefs

Cf. A197737.

Sequence in context: A143612 A353160 A011231 * A331095 A138377 A021316

Adjacent sequences: A198220 A198221 A198222 * A198224 A198225 A198226

Keyword

nonn,cons

Author

Clark Kimberling, Oct 22 2011

Status

approved