A201297 Decimal expansion of x satisfying x^2 - 3 = cot(x) and 0 < x < Pi.

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

Offset

1,2

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=1.695483118364623488689568165133579185093634...

Mathematica

a = 1; c = -3;
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, 1.6, 1.7}, WorkingPrecision -> 110]
RealDigits[r]   (* A201297 *)

Crossrefs

Cf. A201280.

Sequence in context: A003562 A199445 A346367 * A259928 A289265 A301869

Adjacent sequences: A201294 A201295 A201296 * A201298 A201299 A201300

Keyword

nonn,cons

Author

Clark Kimberling, Nov 29 2011

Status

approved