A289197 - OEIS

%I #9 Feb 16 2025 08:33:48

%S 1,2,72,2016,22615200,61903180800,383946391896883200,

%T 291754347175555891200000,1589674150230421751470227456000000,

%U 653674192758917925444914420184514560000000,4669210639701352189820773315967264103247065907200000000

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

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

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

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

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

%Y Main diagonal of A341850.

%Y Cf. A270228, A289198.

%K nonn

%O 1,2

%A _Eric W. Weisstein_, Jun 28 2017

%E Terms a(7) and beyond from _Andrew Howroyd_, Feb 21 2021