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Number of maximum matchings in the n X n knight graph.
1

%I #8 Jul 01 2017 23:04:56

%S 1,1,2,16,644,10304,65113608,2849759680,118928612871184,

%T 58888109421793792

%N Number of maximum matchings in the n X n knight graph.

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

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

%t Join[{1, 1}, Table[Length[With[{g = LineGraph[KnightTourGraph[n, n]]}, FindIndependentVertexSet[g, Length /@ FindIndependentVertexSet[g], All]]], {n, 3, 5}]]

%Y Cf. A287225, A289200.

%K nonn,more

%O 1,3

%A _Eric W. Weisstein_, Jun 28 2017

%E a(7)-a(10) from _Andrew Howroyd_, Jul 01 2017