A199865 Decimal expansion of x>0 satisfying 4*x^2-x*cos(x)=sin(x).

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

Offset

0,1

Comments

See A199597 for a guide to related sequences. The Mathematica program includes a graph.

Links

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

Example

x=0.4646025259952393958921906007574784643540565243570...

Mathematica

a = 4; b = -1; c = 1;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .46, .47}, WorkingPrecision -> 110]
RealDigits[r]    (* A199865 *)

Crossrefs

Cf. A199597.

Sequence in context: A366558 A378152 A091651 * A196818 A010711 A168428

Adjacent sequences: A199862 A199863 A199864 * A199866 A199867 A199868

Keyword

nonn,cons

Author

Clark Kimberling, Nov 11 2011

Status

approved