A201282 Decimal expansion of x satisfying x^2 + 3 = cot(x) and 0 < x < Pi.

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

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=0.3122763607541111358068570021305834266...

Mathematica

a = 1; c = 3;
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, .31, .32}, WorkingPrecision -> 110]
RealDigits[r]    (* A201282 *)

Crossrefs

Cf. A201280.

Sequence in context: A221490 A231819 A286546 * A234522 A057056 A360595

Adjacent sequences: A201279 A201280 A201281 * A201283 A201284 A201285

Keyword

nonn,cons

Author

Clark Kimberling, Nov 29 2011

Status

approved