A199503 Decimal expansion of x>0 satisfying 2*x^2-2*x*sin(x)=cos(x).

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

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

			1.09770607306519042940162895829193901300597891048...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A199429.

Programs

Mathematica

a = 2; b = -2; 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, 1.08, 1.09}, WorkingPrecision -> 110]
RealDigits[r]  (* A199503 *)