A198348 Decimal expansion of x>0 having 4*x^2=3*cos(x).

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

Offset: 0

Author

Clark Kimberling, Oct 23 2011

Keywords

• nonn
• cons

Comments

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

Examples

			x=0.7431418476128724220804306955599...
		

Crossrefs

Cf. A197737.

Programs

Mathematica

a = 4; b = 0; c = 3;
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, .74, .75}, WorkingPrecision -> 110]
RealDigits[r] (* A198348 *)