A199599 Decimal expansion of x>0 satisfying x^2+x*cos(x)=4*sin(x).

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

Offset: 1

Author

Clark Kimberling, Nov 08 2011

Keywords

• nonn
• cons

Comments

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

Examples

			2.1259865499777030425121625578804318472100...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A199597.

Programs

Mathematica

a = 1; b = 1; c = 4;
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, 2.12, 2.13}, WorkingPrecision -> 110]
RealDigits[r]  (* A199599 *)