A198821 Decimal expansion of x>0 satisfying x^2-2*cos(x)=1.

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

Offset: 1

Author

Clark Kimberling, Oct 30 2011

Keywords

• nonn
• cons

Comments

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

Examples

			1.265423705869334955949569325755327056071832...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A198755.

Programs

Mathematica

a = 1; b = -2; c = 1;
f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.2, 1.3}, WorkingPrecision -> 110]
RealDigits[r] (* A198821 *)