A197806 Decimal expansion of x>0 having x^2=2*cos(x).

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

Offset: 1

Author

Clark Kimberling, Oct 20 2011

Keywords

• nonn
• cons

Comments

See A197737 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			x=1.0216899540921852203155702879575916064772260...
		

Crossrefs

Cf. A197737.

Programs

Mathematica

a = 1; b = 0; c = 2;
f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x]
Plot[{f[x], g[x]}, {x, -1.5, 1.5}]
r1 = x /. FindRoot[f[x] == g[x], {x, 1, 1.1}, WorkingPrecision -> 110]
RealDigits[r1] (* A197806 *)