A201292 Decimal expansion of x satisfying 3*x^2 + 1 = cot(x) and 0 < x < Pi.

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

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=0.5110289688671886549895911481110493672...

Mathematica

a = 3; 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, .5, .6}, WorkingPrecision -> 110]
RealDigits[r]   (* A201292 *)

Crossrefs

Cf. A201280.

Sequence in context: A346081 A137373 A220962 * A348975 A271343 A086464

Adjacent sequences: A201289 A201290 A201291 * A201293 A201294 A201295

Keyword

nonn,cons

Author

Clark Kimberling, Nov 29 2011

Status

approved