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%I #8 Dec 04 2019 13:04:46
%S 56,266,266,1187,2773,1187,4584,27157,27157,4584,17010,221766,640652,
%T 221766,17010,58892,1707082,12273323,12273323,1707082,58892,198325,
%U 11675764,221519116,586841773,221519116,11675764,198325,642908,76088840
%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with rows and columns of permanents of all 2X2 subblocks lexicographically nondecreasing, and all 2X2 permanents nonzero
%C Table starts
%C .....56.......266.........1187...........4584...........17010...........58892
%C ....266......2773........27157.........221766.........1707082........11675764
%C ...1187.....27157.......640652.......12273323.......221519116......3408343704
%C ...4584....221766.....12273323......586841773.....26740726836...1029060698687
%C ..17010...1707082....221519116....26740726836...3156944585806.315651250338121
%C ..58892..11675764...3408343704..1029060698687.315651250338121
%C .198325..76088840..48815088704.36382087706267
%C .642908.460518847.628179958745
%H R. H. Hardin, <a href="/A205235/b205235.txt">Table of n, a(n) for n = 1..60</a>
%e Some solutions for n=4 k=3
%e ..2..1..1..1....0..1..1..2....0..1..0..1....1..1..1..2....0..1..0..2
%e ..2..0..2..2....1..2..2..1....1..2..2..2....0..1..2..2....2..2..2..1
%e ..0..1..1..1....2..0..2..2....1..2..2..2....1..1..1..2....0..2..0..1
%e ..2..1..2..0....2..2..1..2....1..2..2..2....2..1..2..2....2..2..2..1
%e ..0..1..1..2....2..0..2..2....1..2..2..2....2..1..1..0....2..2..2..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jan 24 2012
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