A197839 Decimal expansion of least x having x^2-4x=-cos(x).

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

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.

Example

least x: 0.25839214437159967402757423807386027526101...
greatest x: 4.13257347075386830819844170536280612105...

Mathematica

a = 1; b = -4; c = -1;
f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x]
Plot[{f[x], g[x]}, {x, -1, 5}]
r1 = x /. FindRoot[f[x] == g[x], {x, -4.2, -4.1}, WorkingPrecision -> 110]
RealDigits[r1] (* A197839 *)
r2 = x /. FindRoot[f[x] == g[x], {x, 4.1, 4.2}, WorkingPrecision -> 110]
RealDigits[r2] (* A197840 *)

Crossrefs

Cf. A197737.

Sequence in context: A200225 A258749 A056886 * A021391 A162611 A152248

Adjacent sequences: A197836 A197837 A197838 * A197840 A197841 A197842

Keyword

nonn,cons

Author

Clark Kimberling, Oct 20 2011

Status

approved