A199625 Decimal expansion of x<0 satisfying 2*x^2+2*x*cos(x)=sin(x).

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

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

			-0.425711423236282955027850230790341326928658...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A199597.

Programs

Mathematica

a = 2; b = 2; c = 1;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -.43, -.42}, WorkingPrecision -> 110]
RealDigits[r]  (* A199625 *)