A201290 Decimal expansion of x satisfying 2*x^2 + 1 = cot(x) and 0 < x < Pi.

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

Offset: 0

Author

Clark Kimberling, Nov 29 2011

Keywords

• nonn
• cons

Comments

See A201280 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			0.5544569977478318182895987483773398619...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A201280.

Programs

Mathematica

a = 2; c = 1;
f[x_] := a*x^2 + c; g[x_] := Cot[x]
Plot[{f[x], g[x]}, {x, 0, Pi/2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .55, .56}, WorkingPrecision -> 110]
RealDigits[r]   (* A201290 *)