A198872 Decimal expansion of x>0 satisfying 2*x^2-cos(x)=2.

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

Offset: 1

Author

Clark Kimberling, Oct 31 2011

Keywords

• nonn
• cons

Comments

See A198755 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			x=1.1063325550299359152547560957295167526352...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A198755.

Programs

Mathematica

a = 2; b = -1; c = 2;
f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1, 1.1}, WorkingPrecision -> 110]
RealDigits[r] (* A198872 *)