A201332 Decimal expansion of x satisfying 5*x^2 = cot(x) and 0 < x < Pi.

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

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=0.56295601989254373766975382739849295920...

Mathematica

a = 5; c = 0;
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]    (* A201332 *)

Crossrefs

Cf. A201280.

Sequence in context: A346046 A217015 A107825 * A049253 A072733 A018851

Adjacent sequences: A201329 A201330 A201331 * A201333 A201334 A201335

Keyword

nonn,cons

Author

Clark Kimberling, Nov 30 2011

Status

approved