A201286 Decimal expansion of x satisfying x^2 + 7 = cot(x) and 0 < x < Pi.

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

Offset

0,2

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=0.141497741691657057174720939596441543041...

Mathematica

a = 1; c = 7;
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, .1, .2}, WorkingPrecision -> 110]
RealDigits[r]    (* A201286 *)

Crossrefs

Cf. A201280.

Sequence in context: A007891 A165487 A344685 * A347221 A208527 A209576

Adjacent sequences: A201283 A201284 A201285 * A201287 A201288 A201289

Keyword

nonn,cons

Author

Clark Kimberling, Nov 29 2011

Status

approved