A199001 Decimal expansion of x>0 satisfying 4*x^2-4*cos(x)=-1.

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

Offset

0,1

Comments

See A198755 for a guide to related sequences. The Mathematica program includes a graph.

Links

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

Example

x=0.712054246314649941721268994561042604965771...

Mathematica

a = 4; b = -4; c = -1;
f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .71, .72}, WorkingPrecision -> 110]
RealDigits[r] (* A199001 *)

Crossrefs

Cf. A198755.

Sequence in context: A212943 A174588 A366316 * A350048 A111037 A369980

Adjacent sequences: A198998 A198999 A199000 * A199002 A199003 A199004

Keyword

nonn,cons

Author

Clark Kimberling, Nov 01 2011

Status

approved