A198133 Decimal expansion of greatest x having 2*x^2+3x=3*cos(x).

5, 9, 3, 7, 8, 0, 8, 1, 2, 6, 7, 9, 1, 5, 9, 0, 3, 7, 6, 6, 0, 8, 1, 6, 4, 5, 5, 6, 1, 0, 9, 9, 4, 7, 8, 4, 6, 8, 2, 5, 0, 7, 3, 4, 4, 8, 9, 8, 0, 6, 8, 7, 9, 9, 6, 6, 1, 0, 5, 7, 3, 4, 5, 7, 0, 3, 4, 7, 3, 5, 1, 7, 4, 8, 9, 9, 2, 7, 6, 1, 0, 6, 0, 3, 6, 9, 0, 2, 9, 3, 1, 1, 7, 3, 8, 6, 8, 5, 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: -1.53498632262030720596966252020141464...
greatest x: 0.593780812679159037660816455610994...

Mathematica

a = 2; b = 3; c = 3;
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, -1.54, -1.53}, WorkingPrecision -> 110]
RealDigits[r1](* A198132 *)
r2 = x /. FindRoot[f[x] == g[x], {x, .59, .60}, WorkingPrecision -> 110]
RealDigits[r2](* A198133 *)

Crossrefs

Cf. A197737.

Sequence in context: A239545 A228402 A154265 * A111453 A222074 A245735

Adjacent sequences: A198130 A198131 A198132 * A198134 A198135 A198136

Keyword

nonn,cons

Author

Clark Kimberling, Oct 22 2011

Status

approved