%I #10 Aug 15 2021 18:35:23
%S 1,1,4,44,2593,407620,333518324,696849783788,7561681603209033,
%T 204785162442300693673,28874426647917459828127044,
%U 10023323177854055068860282476760,18172145684566998309243670369029131178,80387219406473992671391703779030095453926416
%N Number of quarter-square matchings of the n X n grid graph.
%C Number of ways floor(n^2/4) dominoes can be placed on an n X n chessboard. a(n) is the central term in the n-th row of A242861.
%H Alois P. Heinz, <a href="/A243221/b243221.txt">Table of n, a(n) for n = 0..14</a>
%F a(n) = A242861(n,floor(n^2/4)) = A242861(n,A002620(n)).
%Y Cf. A002620, A242861.
%K nonn
%O 0,3
%A _Alois P. Heinz_, Jun 01 2014
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