%I #7 Aug 29 2015 03:50:48
%S 1,1,6,110,18343,9382388,43019044258,558605693874364,
%T 66236678406528448449,21324218858696872235790649,
%U 63694548993039561351614359349824,503614181552476916158019971522161589536,37393123107750749849065997795023579513072683993,7226766277015485498828489748946241590630740791829515424
%N Number of ways half the maximal number of domicules can be placed on an n X n square.
%F a(n) = A243424(n,floor(n^2/4)).
%e a(2) = 6:
%e +---+ +---+ +---+ +---+ +---+ +---+
%e |o-o| | | |o | | o| |o | | o|
%e | | | | || | | || | \ | | / |
%e | | |o-o| |o | | o| | o| |o |
%e +---+ +---+ +---+ +---+ +---+ +---+.
%Y Cf. A243510.
%K nonn
%O 0,3
%A _Alois P. Heinz_, Jun 05 2014