A198359 Decimal expansion of least x having 4*x^2+2x=3*cos(x), negated.

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

Offset

0,1

Comments

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

Links

Table of n, a(n) for n=0..98.

Index entries for transcendental numbers.

Example

least x: -0.95434777660875567212090095479339137329...
greatest x: 0.58045712444593316179721965142881907589...

Mathematica

a = 4; b = 2; c = 3;
f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x]
Plot[{f[x], g[x]}, {x, -1, 1}]
r1 = x /. FindRoot[f[x] == g[x], {x, -1, -.9}, WorkingPrecision -> 110]
RealDigits[r1] (* A198359 *)
r2 = x /. FindRoot[f[x] == g[x], {x, .58, .59}, WorkingPrecision -> 110]
RealDigits[r2] (* A198360 *)

Prog

(PARI) solve(x=-1.0, -.9, 4*x^2+2*x-3*cos(x)) \\ Charles R Greathouse IV, Apr 19 2026

Crossrefs

Cf. A197737.

Sequence in context: A139604 A104139 A244648 * A071831 A245294 A110894

Adjacent sequences: A198356 A198357 A198358 * A198360 A198361 A198362

Keyword

nonn,cons

Author

Clark Kimberling, Oct 24 2011

Status

approved