A199464 Decimal expansion of greatest x satisfying x^2-3*x*sin(x)=-3*cos(x).

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

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

			1.02065194455071428179208010985825740916...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A199429.

Programs

Mathematica

a = 1; b = -3; c = -3;
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, 1.71, 1.72}, WorkingPrecision -> 110]
RealDigits[r]  (* A199464 greatest root *)