A198835 Decimal expansion of x>0 satisfying x^2-3*cos(x)=-1.

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

Offset: 0

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

			0.91313200078591604173680860012316574687302...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A198755.

Programs

Mathematica

a = 1; b = -3; 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, .9, 1}, WorkingPrecision -> 110]
RealDigits[r] (* A198835 *)