A201298 Decimal expansion of x satisfying x^2 - 4 = cot(x) and 0 < x < Pi.

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

Offset

1,2

Comments

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

Links

Table of n, a(n) for n=1..99.

Example

x=1.90980964498413556137064872656308802546477...

Mathematica

a = 1; c = -4;
f[x_] := a*x^2 + c; g[x_] := Cot[x]
Plot[{f[x], g[x]}, {x, 0, Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.9, 1.91}, WorkingPrecision -> 110]
RealDigits[r]    (* A201298 *)

Crossrefs

Cf. A201280.

Sequence in context: A132268 A252851 A241290 * A029687 A187426 A226765

Adjacent sequences: A201295 A201296 A201297 * A201299 A201300 A201301

Keyword

nonn,cons

Author

Clark Kimberling, Nov 29 2011

Status

approved