A199662 Decimal expansion of x<0 satisfying 3*x+cos(x)=0.

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

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=-0.3167508287712211718867961806109617979...

Mathematica

a = 3; b = 1; c = 0;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 1}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -.4, -.3}, WorkingPrecision -> 110]
RealDigits[r]  (* A199662 *)

Crossrefs

Cf. A199597.

Sequence in context: A210749 A330587 A350647 * A280293 A226483 A103407

Adjacent sequences: A199659 A199660 A199661 * A199663 A199664 A199665

Keyword

nonn,cons

Author

Clark Kimberling, Nov 09 2011

Status

approved