A201331 Decimal expansion of x satisfying 4*x^2 = cot(x) and 0 < x < Pi.

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

Index entries for transcendental numbers.

Example

0.60273420399569399033092929165114352....

Mathematica

a = 4; 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, .6, .7}, WorkingPrecision -> 110]
RealDigits[r]    (* A201331 *)

Prog

(PARI) solve(x=0, 1, 4*x^2*tan(x)-1) \\ Charles R Greathouse IV, Nov 26 2024

Crossrefs

Cf. A201280.

Sequence in context: A195406 A021628 A371923 * A366349 A075092 A152244

Adjacent sequences: A201328 A201329 A201330 * A201332 A201333 A201334

Keyword

nonn,cons

Author

Clark Kimberling, Nov 30 2011

Status

approved