A199002 Decimal expansion of x>0 satisfying 4*x^2-4*cos(x)=1.

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

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.

Index entries for transcendental numbers.

Example

0.9235679051878945418585929739784101638990486411777...

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, .92, .93}, WorkingPrecision -> 110]
RealDigits[r]   (* A199002 *)

Crossrefs

Cf. A198755.

Sequence in context: A201559 A300015 A246499 * A160108 A011344 A257959

Adjacent sequences: A198999 A199000 A199001 * A199003 A199004 A199005

Keyword

nonn,cons

Author

Clark Kimberling, Nov 01 2011

Status

approved