A198365 Decimal expansion of least x having 4*x^2+3x=3*cos(x), negated.

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

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: -1.0785971095688581117180854186330111...
greatest x: 0.51557881116466232291676062200909...

Mathematica

a = 4; b = 3; c = 3;
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, -1.1, -1.0}, WorkingPrecision -> 110]
RealDigits[r1] (* A198365 *)
r2 = x /. FindRoot[f[x] == g[x], {x, .51, .52}, WorkingPrecision -> 110]
RealDigits[r2] (* A198366 *)

Prog

(PARI) solve(x=-2, 0, 4*x^2+3*x-3*cos(x)) \\ Charles R Greathouse IV, Apr 17 2026

Crossrefs

Cf. A197737.

Sequence in context: A021564 A021060 A117239 * A262898 A390699 A004496

Adjacent sequences: A198362 A198363 A198364 * A198366 A198367 A198368

Keyword

nonn,cons

Author

Clark Kimberling, Oct 24 2011

Status

approved