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.

A073746 Decimal expansion of sech(1).

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%I A073746 #23 Feb 16 2025 08:32:46
%S A073746 6,4,8,0,5,4,2,7,3,6,6,3,8,8,5,3,9,9,5,7,4,9,7,7,3,5,3,2,2,6,1,5,0,3,
%T A073746 2,3,1,0,8,4,8,9,3,1,2,0,7,1,9,4,2,0,2,3,0,3,7,8,6,5,3,3,7,3,1,8,7,1,
%U A073746 7,5,9,5,6,4,6,7,1,2,8,3,0,2,8,0,8,5,4,7,8,5,3,0,7,8,9,2,8,9,2,3,8,4,8,4
%N A073746 Decimal expansion of sech(1).
%C A073746 sech(x) = 2/(e^x + e^(-x)).
%C A073746 By the Lindemann-Weierstrass theorem, this constant is transcendental. - _Charles R Greathouse IV_, May 14 2019
%D A073746 Samuel M. Selby (ed.), CRC Basic Mathematical Tables, CRC Press, 1970, p. 218.
%H A073746 Ivan Panchenko, <a href="/A073746/b073746.txt">Table of n, a(n) for n = 0..1000</a>
%H A073746 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/HyperbolicSecant.html">Hyperbolic Secant</a>.
%H A073746 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/HyperbolicFunctions.html">Hyperbolic Functions</a>.
%H A073746 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%F A073746 Equals Sum_{k>=0} E(2*k) / (2*k)!, where E(k) is the k-th Euler number (A122045). - _Amiram Eldar_, May 15 2021
%e A073746 0.64805427366388539957497735322...
%t A073746 RealDigits[Sech[1], 10, 100][[1]] (* _Amiram Eldar_, May 15 2021 *)
%o A073746 (PARI) 1/cosh(1)
%Y A073746 Cf. A068118 (continued fraction), A073743 (cosh(1)=1/A073746), A073742 (sinh(1)), A073744 (tanh(1)), A073745 (csch(1)), A073747 (coth(1)), A122045.
%K A073746 cons,nonn
%O A073746 0,1
%A A073746 _Rick L. Shepherd_, Aug 07 2002