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A360167
Decimal expansion of csch(Pi).
0
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
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
KEYWORD
cons,nonn
AUTHOR
Wolfe Padawer, Jan 28 2023
STATUS
approved