A360167 Decimal expansion of csch(Pi).

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

Offset

-1,1

Links

Table of n, a(n) for n=-1..103.

Michael I. Shamos, A catalog of the real numbers (2011).

Formula

Equals 1/sinh(Pi).

Equals 2/A175315.

Equals (2*e^Pi)/(e^(2*Pi) - 1).

Equals 1/(e^Pi + 1) + 1/(e^Pi - 1).

Equals Sum_{k>=0} 2*e^(-2*Pi*k - Pi).

Equals lim_{n->oo} (2*e^(Pi - 2*Pi*n))*(e^(2*Pi*n) - 1)/(e^(2*Pi) - 1).

Example

0.086589537530046941828459769752181242094525274394818718061255904175...

Mathematica

RealDigits[Csch[Pi], 10, 105][[1]]

Crossrefs

Cf. A175315.

Sequence in context: A161883 A248618 A197329 * A046266 A165104 A375193

Adjacent sequences: A360164 A360165 A360166 * A360168 A360169 A360170

Keyword

cons,nonn

Author

Wolfe Padawer, Jan 28 2023

Status

approved