A201284 Decimal expansion of x satisfying x^2 + 5 = cot(x) and 0 < x < Pi.

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

Offset

0,2

Comments

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

Links

Table of n, a(n) for n=0..98.

Example

x=0.1959298992654626321811553538347740836029...

Mathematica

a = 1; c = 5;
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, .1, .2}, WorkingPrecision -> 110]
RealDigits[r]   (* A201284 *)

Crossrefs

Cf. A201280.

Sequence in context: A334427 A010543 A154830 * A191815 A341430 A341438

Adjacent sequences: A201281 A201282 A201283 * A201285 A201286 A201287

Keyword

nonn,cons

Author

Clark Kimberling, Nov 29 2011

Status

approved