This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A073745 #21 Feb 16 2025 08:32:46 %S A073745 8,5,0,9,1,8,1,2,8,2,3,9,3,2,1,5,4,5,1,3,3,8,4,2,7,6,3,2,8,7,1,7,5,2, %T A073745 8,4,1,8,1,7,2,4,6,6,0,9,1,0,3,3,9,6,1,6,9,9,0,4,2,1,1,5,1,7,2,9,0,0, %U A073745 3,3,6,4,3,2,1,4,6,5,1,0,3,8,9,9,7,3,0,1,7,7,3,2,8,8,9,3,8,1,2,3,6,2,4,4 %N A073745 Decimal expansion of csch(1). %C A073745 csch(x) = 2/(e^x - e^(-x)). %C A073745 By the Lindemann-Weierstrass theorem, this constant is transcendental. - _Charles R Greathouse IV_, May 14 2019 %D A073745 Samuel M. Selby (ed.), CRC Basic Mathematical Tables, CRC Press, 1970, p. 218. %H A073745 Ivan Panchenko, <a href="/A073745/b073745.txt">Table of n, a(n) for n = 0..1000</a> %H A073745 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/HyperbolicCosecant.html">Hyperbolic Cosecant</a>. %H A073745 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/HyperbolicFunctions.html">Hyperbolic Functions</a>. %H A073745 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a> %F A073745 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 %e A073745 0.85091812823932154513384276328... %t A073745 RealDigits[Csch[1], 10, 100][[1]] (* _Amiram Eldar_, May 15 2021 *) %o A073745 (PARI) 1/sinh(1) %Y A073745 Cf. A068139 (continued fraction), A073742 (sinh(1)=1/A073745), A073743 (cosh(1)), A073744 (tanh(1)), A073746 (sech(1)), A073747 (coth(1)). %K A073745 cons,nonn %O A073745 0,1 %A A073745 _Rick L. Shepherd_, Aug 07 2002