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Number of maximal matchings in the n X n antelope graph.
0

%I #17 Jan 27 2024 11:41:34

%S 1,1,1,1,16,1296,767700,9856955880

%N Number of maximal matchings in the n X n antelope graph.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/AntelopeGraph.html">Antelope Graph</a>.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Matching.html">Matching</a>.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/MaximalIndependentEdgeSet.html">Maximal Independent Edge Set</a>.

%t Table[Length@FindIndependentVertexSet[LineGraph@RelationGraph[Sort[Abs[Subtract[##]]] == {3, 4} &, Tuples[Range[n], 2]], Infinity, All], {n, 7}]

%K nonn,more

%O 1,5

%A _Eric W. Weisstein_, Nov 13 2018

%E a(8) from _Pontus von Brömssen_, Dec 31 2022