A196503 Decimal expansion of greatest x satisfying cos(x)=1/sqrt(1+x^2).

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

Offset: 0

Author

Clark Kimberling, Oct 03 2011

Keywords

• nonn
• cons

Comments

See A196502 and A196500 for related inequalities.

Examples

			x=0.203534149076564439697574222397395290289996941...
		

Crossrefs

Cf. A196500, A196502, A196504.

Programs

Mathematica

Plot[{Cos[x], 1/Sqrt[1 + x^2]}, {x, 0, 8}]
t = x /.FindRoot[1/Sqrt[1 + x^2] == Cos[x], {x, 4, 5}, WorkingPrecision -> 100]
RealDigits[t]   (* A196502 *)
1/t
RealDigits[1/t] (* A196503 *)