A201317 Decimal expansion of x satisfying x^2 - 8 = cot(x) and 0 < x < Pi.

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

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.

Index entries for transcendental numbers.

Example

2.55109415889391580073461619294081029176...

Mathematica

a = 1; c = -8;
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, 2.5, 2.6}, WorkingPrecision -> 110]
RealDigits[r]    (* A201317 *)

Crossrefs

Cf. A201280.

Sequence in context: A361590 A380897 A021396 * A298526 A160177 A320428

Adjacent sequences: A201314 A201315 A201316 * A201318 A201319 A201320

Keyword

nonn,cons

Author

Clark Kimberling, Nov 30 2011

Status

approved