A197807 Decimal expansion of x>0 having x^2=3*cos(x).

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

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=1.13061907277639496128865005894540687027860878...
		

Crossrefs

Cf. A197737.

Programs

Mathematica

a = 1; b = 0; c = 3;
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, 1.2}, WorkingPrecision -> 110]
RealDigits[r1] (* A197807 *)