A199873 Decimal expansion of x>0 satisfying 4*x^2-4*x*cos(x)=sin(x).

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

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=0.86697406906482496967460559743071907304716...

Mathematica

a = 4; b = -4; 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, .86, .87}, WorkingPrecision -> 110]
RealDigits[r]   (* A199873 *)

Crossrefs

Cf. A199597.

Sequence in context: A092750 A218197 A181048 * A300503 A153791 A004497

Adjacent sequences: A199870 A199871 A199872 * A199874 A199875 A199876

Keyword

nonn,cons

Author

Clark Kimberling, Nov 11 2011

Status

approved