A198211 Decimal expansion of x>0 having 3*x^2=cos(x).

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

Offset: 0

Author

Clark Kimberling, Oct 22 2011

Keywords

• nonn
• cons

Comments

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

Examples

			x=0.535428244164656914125978685308397380...
		

Crossrefs

Cf. A197737.

Programs

Mathematica

a = 3; b = 0; c = 1;
f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x]
Plot[{f[x], g[x]}, {x, -1, 1}]
r = x /. FindRoot[f[x] == g[x], {x, 0.53, 0.54}, WorkingPrecision -> 110]
RealDigits[r] (* A198211 *)