A198885 Decimal expansion of x>0 satisfying 2*x^2-4*cos(x)=1.

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

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

			1.1486601356986659877269424680324417675143222...
		

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, 1.1, 1.2}, WorkingPrecision -> 110]
RealDigits[r]  (* A198885 *)