cp's OEIS Frontend

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.

A073745 Decimal expansion of csch(1).

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%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