A198884 Decimal expansion of x>0 satisfying 2*x^2-4*cos(x)=-1.

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

Offset: 0

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

			0.8799704032423942387963153440536443839...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A198755.

Programs

Mathematica

a = 2; b = -4; c = -1;
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, .87, .88}, WorkingPrecision -> 110]
RealDigits[r] (* A198884 *)