A198224 Decimal expansion of least x having 3*x^2+2x=2*cos(x), negated.

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

Offset

1,4

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: -1.014060582687901072214777706552979973...
greatest x: 0.500866310253011769790802754694656330...

Mathematica

a = 3; b = 2; c = 2;
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, -1.02, -1.01}, WorkingPrecision -> 110]
RealDigits[r1]  (* A198224 *)
r2 = x /. FindRoot[f[x] == g[x], {x, .5, .51}, WorkingPrecision -> 110]
RealDigits[r2]  (* A198225 *)

Prog

(PARI) solve(x=1, 2, 3*x^2-2*x-2*cos(x)) \\ Charles R Greathouse IV, Apr 10 2026

Crossrefs

Cf. A197737.

Sequence in context: A210615 A179312 A076290 * A178105 A178109 A339873

Adjacent sequences: A198221 A198222 A198223 * A198225 A198226 A198227

Keyword

nonn,cons

Author

Clark Kimberling, Oct 22 2011

Status

approved