A198119 Decimal expansion of greatest x having 2*x^2+x=4*cos(x).

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

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.

Index entries for transcendental numbers.

Example

least x: -1.1690226923053929102101002288527830...
greatest x: 0.89565238135842890121817647213537147...

Mathematica

a = 2; b = 1; 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, -1.17, -1.16}, WorkingPrecision -> 110]
RealDigits[r1](* A198118 *)
r2 = x /. FindRoot[f[x] == g[x], {x, .8, .9}, WorkingPrecision -> 110]
RealDigits[r2](* A198119 *)

Crossrefs

Cf. A197737.

Sequence in context: A245772 A388591 A190289 * A395940 A088612 A225426

Adjacent sequences: A198116 A198117 A198118 * A198120 A198121 A198122

Keyword

nonn,cons

Author

Clark Kimberling, Oct 21 2011

Status

approved