A198134 Decimal expansion of least x having 2*x^2+3x=4*cos(x).

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

Offset

1,2

Comments

See A197737 for a guide to related sequences. The Mathematica program includes a graph.

Links

Table of n, a(n) for n=1..99.

Example

least x: -1.5399952272668390818059885802040...
greatest x: 0.6975345552284129937951740662521298...

Mathematica

a = 2; 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, -1.54, -1.539}, WorkingPrecision -> 110]
 RealDigits[r1](* A198134 *)
 r2 = x /. FindRoot[f[x] == g[x], {x, .79, .70}, WorkingPrecision -> 110]
 RealDigits[r2](* A198135 *))

Crossrefs

Cf. A197737.

Sequence in context: A296345 A317907 A075693 * A082454 A377226 A108245

Adjacent sequences: A198131 A198132 A198133 * A198135 A198136 A198137

Keyword

nonn,cons

Author

Clark Kimberling, Oct 22 2011

Status

approved