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 A360685 #14 Feb 16 2025 08:34:04 %S A360685 1,2,4,4,40,120,240,240,11612160 %N A360685 Number of maximum independent vertex sets in the n-halved cube graph Q_n/2. %H A360685 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/HalvedCubeGraph.html">Halved Cube Graph</a>. %H A360685 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/MaximumIndependentVertexSet.html">Maximum Independent Vertex Set</a>. %t A360685 Table[With[{g = GraphPower[HypercubeGraph[n - 1], 2]}, Length[FindIndependentVertexSet[g, Length /@ FindIndependentVertexSet[g], All]]], {n, 8}] %o A360685 (Python) %o A360685 from collections import Counter %o A360685 from networkx import empty_graph, find_cliques, complement, power %o A360685 def A360685(n): %o A360685 k = 1<<n-1 %o A360685 G = empty_graph(range(k)) %o A360685 G.add_edges_from((a,b) for a in range(k) for b in range(a) if (lambda m: not(m&-m)^m if m else False)(a^b)) %o A360685 return (c:=Counter(len(c) for c in find_cliques(complement(power(G,2)))))[max(c)] # _Chai Wah Wu_, Jan 12 2024 %Y A360685 Cf. A290606. %K A360685 nonn,more,hard %O A360685 1,2 %A A360685 _Eric W. Weisstein_, Feb 16 2023