A199466 Decimal expansion of greatest x satisfying x^2-3*x*sin(x)=-cos(x).

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

Offset: 1

Author

Clark Kimberling, Nov 07 2011

Keywords

• nonn
• cons

Comments

See A199429 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			2.3781096961203248068230878498260863180947157422...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A199429.

Programs

Mathematica

a = 1; b = -3; c = -1;
f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c*Cos[x]
Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 2.37, 2.38}, WorkingPrecision -> 110]
RealDigits[r]  (* A199466 greatest root *)