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 A364441 #25 Mar 28 2025 16:03:00 %S A364441 3,52,90262 %N A364441 Number of facets of the balanced minimum evolution polytope on n species. %C A364441 The balanced minimum evolution (BME) polytope of order n is a polytope in binomial(n, 2)-dimensional space whose vertices are indexed by bifurcating phylogenetic trees on n species. The coordinates of the ambient space are indexed by pairs (i, j) of distinct species, and at a vertex corresponding to tree T, the value at coordinate (i, j) is equal to 2^-k(i, j) where k(i, j) is the number of internal nodes on the path from i to j in T. %H A364441 Stefan Forcey, <a href="https://sforcey.github.io/sf34/hedra.htm#BME">Encyclopedia of Combinatorial Polytope Sequences: Balanced Minimum Evolution Polytope</a>. %H A364441 Stefan Forcey, Logan Keefe, and William Sands, <a href="https://doi.org/10.1007/s11538-017-0264-7">Split-Facets for Balanced Minimum Evolution Polytopes and the Permutoassociahedron</a>, Bull. Math. Biol., 79 (2017), 975-994. %Y A364441 Cf. A364505. %K A364441 nonn,more,bref %O A364441 4,1 %A A364441 _Harry Richman_, Jul 24 2023