A360166 Decimal expansion of sech(Pi).

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

Offset

-1,1

Links

Table of n, a(n) for n=-1..101.

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

Formula

Equals 1/cosh(Pi).

Equals 2/A175314.

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

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

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

Example

0.086266738334054414696554046331336803913919401857363678077401978352...

Mathematica

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

Crossrefs

Cf. A175314.

Sequence in context: A021847 A029684 A200626 * A197732 A224237 A199785

Adjacent sequences: A360163 A360164 A360165 * A360167 A360168 A360169

Keyword

cons,nonn

Author

Wolfe Padawer, Jan 28 2023

Status

approved