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Number of matchings in the 4 X n rook graph.
1

%I #7 Mar 14 2021 18:44:01

%S 1,10,193,5950,270529,16873930,1384880065,144218696590,18583827550465,

%T 2898418007316970,538034003700151105,117117180185558050750,

%U 29538673951318735414465,8540274169019607609510250,2805241403079208727201012545,1038436904586470317663800172750

%N Number of matchings in the 4 X n rook graph.

%H Andrew Howroyd, <a href="/A341503/b341503.txt">Table of n, a(n) for n = 0..50</a>

%e The a(1) = 10 matchings consist of the empty matching, 6 matchings with a single edge and 3 perfect matchings.

%Y Row 4 of A270227.

%K nonn

%O 0,2

%A _Andrew Howroyd_, Feb 21 2021