A201293 Decimal expansion of x satisfying 3*x^2 + 2 = cot(x) and 0 < x < Pi.

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

Offset

0,1

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=0.387467622727775333831188776401881270...

Mathematica

a = 3; c = 2;
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, .3, .4}, WorkingPrecision -> 110]
RealDigits[r]    (* A201293 *)

Crossrefs

Cf. A201280.

Sequence in context: A177346 A357319 A257822 * A335810 A225016 A121992

Adjacent sequences: A201290 A201291 A201292 * A201294 A201295 A201296

Keyword

nonn,cons

Author

Clark Kimberling, Nov 29 2011

Status

approved