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 A383145 #12 May 16 2025 09:46:02 %S A383145 1,1,4,13,62,308,2132,17268,189373 %N A383145 Number of GL-racks of order n, up to isomorphism. %C A383145 Generalized Legendrian racks, also called GL-racks or bi-Legendrian racks, are racks equipped with a rack automorphism that commutes with all inner rack automorphisms; see Ta, Definition 3.1 and Proposition 3.12. They are used to distinguish Legendrian links in contact three-space. %C A383145 GL-racks are precisely virtual racks in which all inner rack automorphisms are virtual rack automorphisms; see Cattabriga and Nasybullov, Section 3.2. %H A383145 Alessia Cattabriga and Timur Nasybullov, <a href="https://doi.org/10.1007/s13398-017-0445-0">Virtual quandle for links in lens spaces</a>, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales, Serie A. Matemáticas, 112 (2018), no. 3, 657-669. %H A383145 Biswadeep Karmakar, Deepanshi Saraf, and Mahender Singh, <a href="http://arxiv.org/abs/2301.06854">Generalised Legendrian racks of Legendrian links</a>, arXiv: 2301.06854 [math.GT], 2023. %H A383145 Naoki Kimura, <a href="https://doi.org/10.1007/s13398-017-0445-0">Bi-Legendrian rack colorings of Legendrian knots</a>, Journal of Knot Theory and its Ramifications, 32 (2023), no. 4, Paper No. 2350029. %H A383145 Lực Ta, <a href="https://arxiv.org/abs/2504.12671">Generalized Legendrian racks: Classification, tensors, and knot coloring invariants</a>, arXiv: 2504.12671 [math.GT], 2025. %H A383145 Lực Ta, <a href="https://github.com/luc-ta/GL-Rack-Classification">GL-Rack Classification</a>, GitHub, 2025. %o A383145 (GAP) # see Ta, GitHub link %Y A383145 Cf. A383146. %Y A383145 Sequences relating to racks and quandles: A181769, A181770, A383144, A181771, A176077, A178432, A179010, A193024, A254434, A177886, A196111, A226173, A236146, A248908, A165200, A242044, A226193, A242275, A243931, A257351, A198147, A225744, A226172, A226174. %Y A383145 Sequences related to Legendrian knots: A374939, A374942, A374943, A374944, A374945, A374946, A374947. %K A383145 hard,more,nonn %O A383145 0,3 %A A383145 _Luc Ta_, Apr 17 2025