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 A374944 #14 Aug 09 2024 08:02:44 %S A374944 0,0,0,0,3,8 %N A374944 a(n) is the maximum over the minimum crossing numbers of all Legendrian knots that can be realized on a Legendrian n-mosaic. %C A374944 A Legendrian n-mosaic is an n X n array of the 10 tiles given in Figure 5 of Pezzimenti and Pandey. These tiles represent part of a Legendrian curve in the front projection. %H A374944 Margaret Kipe, <a href="/A374944/a374944.py.txt">Python</a> %H A374944 Margaret Kipe, <a href="/A374944/a374944.rs.txt">Rust</a> %H A374944 S. Pezzimenti and A. Pandey, <a href="https://doi.org/10.1142/S021821652250002X">Geography of Legendrian knot mosaics</a>, Journal of Knot Theory and its Ramifications, 31 (2022), article no. 2250002, 1-22. %e A374944 For n = 5, the only Legendrian knots that can be realized on a Legendrian 5-mosaic are positive and negative Legendrian trefoils, which have a minimal crossing number of 3, and Legendrian unknots, which have a minimal crossing number of 0. Therefore, a(5) = 3. %o A374944 (Python, Rust) //See Margaret Kipe links %Y A374944 Cf. A374939, A374942, A374943, A374945, A374946, A374947. %K A374944 nonn,hard,more,bref %O A374944 1,5 %A A374944 _Margaret Kipe_, _Samantha Pezzimenti_, _Leif Schaumann_, _Luc Ta_, _Wing Hong Tony Wong_, Jul 24 2024