A198106 Decimal expansion of least x having x^2+3x=3*cos(x), negated.

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

Offset

1,1

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: -2.19856133546816188233076436710906...
greatest x: 0.6525732515333974244412623453464...

Mathematica

a = 1; b = 3; c = 3;
f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x]
Plot[{f[x], g[x]}, {x, -3, 1}]
r1 = x /. FindRoot[f[x] == g[x], {x, -2.2, -2.1}, WorkingPrecision -> 110]
RealDigits[r1]  (* A198106 *)
r2 = x /. FindRoot[f[x] == g[x], {x, .64, .65}, WorkingPrecision -> 110]
RealDigits[r2]  (* A198107 *)

Prog

(PARI) solve(x=-3, -2, x^2+3*x-3*cos(x)) \\ Charles R Greathouse IV, Apr 19 2026

Crossrefs

Cf. A197737.

Sequence in context: A133175 A188659 A042977 * A243261 A230358 A228721

Adjacent sequences: A198103 A198104 A198105 * A198107 A198108 A198109

Keyword

nonn,cons

Author

Clark Kimberling, Oct 21 2011

Status

approved