A201319 Decimal expansion of x satisfying x^2 - 10 = cot(x) and 0 < x < Pi.

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

Offset

1,1

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=2.75126829905857285543904857951594886...

Mathematica

a = 1; c = -10;
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, 2.7, 2.8}, WorkingPrecision -> 110]
RealDigits[r]   (* A201319 *)

Crossrefs

Cf. A201280.

Sequence in context: A113814 A059038 A244678 * A110945 A197571 A178422

Adjacent sequences: A201316 A201317 A201318 * A201320 A201321 A201322

Keyword

nonn,cons

Author

Clark Kimberling, Nov 30 2011

Status

approved