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 A007756 #34 Mar 30 2024 12:15:08 %S A007756 0,0,1,1,2,3,11,38,156,638,2973,13882,67868,338147,1720303,8905996, %T A007756 46774728,248918004,1340083514,7288922610,40019870539,221582395052, %U A007756 1236358849827 %N A007756 Number of irreducible indecomposable spherical curves with n crossings (only ordinary double points), the circle is oriented, the sphere is not oriented (OU case). %C A007756 Old name was "Prime Gaussian (i.e. only ordinary double points) curves with n crossings." %C A007756 Irreducible means not made disconnected by removal of a vertex (no nugatory crossings). %C A007756 Indecomposable (or prime) means not made disconnected by cutting two distinct lines. %H A007756 J. Betrema, <a href="https://github.com/j2b2/TaitCurves">Tait Curves</a> %H A007756 R. Coquereaux and J.-B. Zuber, <a href="http://arxiv.org/abs/1507.03163">Maps, immersions and permutations</a>, arXiv preprint arXiv:1507.03163 [math.CO], 2015-2016. Also J. Knot Theory Ramifications 25, 1650047 (2016), DOI: <a href="https://doi.org/10.1142/S0218216516500474">10.1142/S0218216516500474</a> %H A007756 C. Ernst, C. Hart, T. Menezes and D. Price, <a href="https://doi.org/10.1142/S0218216521500632">A complete list of minimal diagrams of an oriented alternating knot</a>, J. Knot Theory Ramifications 30, 2150063 (2021). See section 3.1. %o A007756 (C) See the J. Betrema C program in the Tait Curves link. %Y A007756 Cf. A008986, A008987, A008988, A008989, A264759, A264760, A264761. %K A007756 nonn,more %O A007756 1,5 %A A007756 Jean Betrema %E A007756 Edited by _Robert Coquereaux_, Nov 23 2015 %E A007756 a(15)-a(16) from _Sean A. Irvine_, Jan 22 2018 %E A007756 a(17)-a(23) from _Brendan McKay_, Mar 30 2024