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 A292864 #7 Feb 16 2025 08:33:51 %S A292864 9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,8,5,2,0,9,6,5,3,8,4,0,3,8, %T A292864 2,1,4,3,4,7,4,5,7,7,5,5,7,0,0,4,9,4,1,6,3,1,3,1,4,3,4,3,3,1,1,3,7,1, %U A292864 7,6,6,7,2,0,2,2,1,4,4,9,4,7,6,1,6,8,9,7,0,9,0,9,5,2,0,5,8,6,9,3,8,7,6,7,4,9 %N A292864 Decimal expansion of Product_{k>=1} (1 - exp(-16*Pi*k)). %H A292864 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/DedekindEtaFunction.html">Dedekind Eta Function</a> %H A292864 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/q-PochhammerSymbol.html">q-Pochhammer Symbol</a> %H A292864 Wikipedia, <a href="https://en.wikipedia.org/wiki/Dedekind_eta_function">Dedekind eta function</a> %H A292864 Wikipedia, <a href="https://en.wikipedia.org/wiki/Euler_function">Euler function</a> %F A292864 Equals (3*sqrt(22*sqrt(2) - 24) - 8)^(1/8) * exp(2*Pi/3) * Gamma(1/4) / (2^(19/8) * Pi^(3/4)). %e A292864 0.999999999999999999999852096538403821434745775570049416313143433113717... %t A292864 RealDigits[(3*Sqrt[-24 + 22*Sqrt[2]] - 8)^(1/8) * E^(2*Pi/3) * Gamma[1/4] / (2^(19/8)*Pi^(3/4)), 10, 120][[1]] %t A292864 RealDigits[QPochhammer[E^(-16*Pi)], 10, 120][[1]] %Y A292864 Cf. A259147, A259148, A259149, A259150, A259151, A292862, A292863. %K A292864 nonn,cons %O A292864 0,1 %A A292864 _Vaclav Kotesovec_, Sep 25 2017