A198118 Decimal expansion of least x having 2*x^2+x=4*cos(x), negated.

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

Offset

1,3

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.

Index entries for transcendental numbers.

Example

least x: -1.1690226923053929102101002288527830...
greatest x: 0.89565238135842890121817647213537...

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 *)

Prog

(PARI) solve(x=1, 2, 2*x^2-x-4*cos(x)) \\ Charles R Greathouse IV, Apr 10 2026

Crossrefs

Cf. A197737.

Sequence in context: A196762 A388161 A078196 * A195102 A020792 A242760

Adjacent sequences: A198115 A198116 A198117 * A198119 A198120 A198121

Keyword

nonn,cons

Author

Clark Kimberling, Oct 21 2011

Status

approved