OFFSET
0,1
COMMENTS
csch(x) = 2/(e^x - e^(-x)).
By the Lindemann-Weierstrass theorem, this constant is transcendental. - Charles R Greathouse IV, May 14 2019
REFERENCES
Samuel M. Selby (ed.), CRC Basic Mathematical Tables, CRC Press, 1970, p. 218.
LINKS
Ivan Panchenko, Table of n, a(n) for n = 0..1000
Eric Weisstein's World of Mathematics, Hyperbolic Cosecant.
Eric Weisstein's World of Mathematics, Hyperbolic Functions.
FORMULA
Equals Sum_{k>=0} B(2*k) * (2 - 2^(2*k)) / (2*k)!, where B(k) is the k-th Bernoulli number. - Amiram Eldar, May 15 2021
EXAMPLE
0.85091812823932154513384276328...
MATHEMATICA
RealDigits[Csch[1], 10, 100][[1]] (* Amiram Eldar, May 15 2021 *)
PROG
(PARI) 1/sinh(1)
CROSSREFS
KEYWORD
cons,nonn
AUTHOR
Rick L. Shepherd, Aug 07 2002
STATUS
approved