A198349 Decimal expansion of least x having 4*x^2+x=cos(x).

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

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..103.

Example

least x: -0.596628694828122209772071553484966...
greatest x: 0.3733959160193969688968321519818...

Mathematica

a = 4; b = 1; c = 1;
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, -.6, -.5}, WorkingPrecision -> 110]
RealDigits[r1] (* A198349 *)
r2 = x /. FindRoot[f[x] == g[x], {x, .37, .38}, WorkingPrecision -> 110]
RealDigits[r2] (* A198350 *)

Crossrefs

Cf. A197737.

Sequence in context: A238200 A266564 A201589 * A370742 A176110 A262974

Adjacent sequences: A198346 A198347 A198348 * A198350 A198351 A198352

Keyword

nonn,cons

Author

Clark Kimberling, Oct 23 2011

Status

approved