A199788 Decimal expansion of x>0 satisfying 3*x^2-3*x*cos(x)=2*sin(x).

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

Offset

1,3

Comments

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

Links

Table of n, a(n) for n=1..99.

Example

x=1.049188708200434213427207665003926608294390...

Mathematica

a = 3; b = -3; c = 2;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.04, 1.05}, WorkingPrecision -> 110]
RealDigits[r]     (* A199788 *)

Crossrefs

Cf. A199597.

Sequence in context: A133868 A295709 A316295 * A197266 A200393 A070438

Adjacent sequences: A199785 A199786 A199787 * A199789 A199790 A199791

Keyword

nonn,cons

Author

Clark Kimberling, Nov 10 2011

Status

approved