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

Author

Clark Kimberling, Nov 09 2011

Keywords

• nonn
• cons

Comments

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

Examples

			-0.3167508287712211718867961806109617979...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A199597.

Programs

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 *)