A199666 Decimal expansion of x<0 satisfying 3*x+2*cos(x)=0.

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

Index entries for transcendental numbers.

Example

-0.563569204225515642490501807135132045061074472...

Mathematica

a = 3; b = 2; c = 0;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 1.5}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -.57, -.56}, WorkingPrecision -> 110]
RealDigits[r]  (* A199666 *)

Crossrefs

Cf. A199597.

Sequence in context: A272489 A259500 A274082 * A307619 A123852 A329197

Adjacent sequences: A199663 A199664 A199665 * A199667 A199668 A199669

Keyword

nonn,cons

Author

Clark Kimberling, Nov 09 2011

Status

approved