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 A249673 #17 Jul 30 2023 02:25:02 %S A249673 2,1,1,6,4,6,5,5,3,6,5,0,5,4,8,4,7,7,5,8,7,8,5,7,2,2,2,7,0,2,5,8,3,1, %T A249673 9,8,8,1,4,8,0,8,9,3,9,2,8,0,9,0,8,2,5,6,8,2,8,1,3,4,8,0,7,8,6,9,4,2, %U A249673 3,8,3,0,7,2,8,9,0,1,1,7,2,9,9,6,1,9,3,4,6,5,9,2,4,3,1,0,8,8,9,4,2,8,6,3,7 %N A249673 Decimal expansion of Product_{n>=1} cosh(1/n). %F A249673 From _Amiram Eldar_, Jul 30 2023: (Start) %F A249673 Equals exp(Sum_{k>=1} 2^(2*k-1)*(2^(2*k)-1)*B(2*k)*zeta(2*k)/(k*(2*k)!)), where B(k) is the k-th Bernoulli number. %F A249673 Equals exp(Sum_{k>=1} (-1)^(k+1)*(2^(2*k)-1)*zeta(2*k)^2/(k*Pi^(2*k))). (End) %e A249673 2.116465536505484775878572227025831988148089392809082568281348... %p A249673 evalf(exp(sum(log(cosh(1/n)), n=1..infinity)), 100) %o A249673 (PARI) default(realprecision,120); exp(sumpos(k=1, log(cosh(1/k)))) %Y A249673 Cf. A118817, A230821, A051762, A218504, A246945, A270614. %Y A249673 Cf. A027641, A027642. %K A249673 nonn,cons %O A249673 1,1 %A A249673 _Vaclav Kotesovec_, Nov 03 2014