The OEIS is supported by the many generous donors to the OEIS Foundation.
%I #12 Dec 05 2019 08:21:35
%S 81,491,491,2830,7572,2830,14206,111413,111413,14206,68508,1383154,
%T 4502701,1383154,68508,311076,16383311,151143466,151143466,16383311,
%U 311076,1375313,175923930,4798857522,14708332687,4798857522,175923930
%N T(n,k) is the number of (n+1) X (k+1) 0..2 arrays with rows and columns of permanents of all 2 X 2 subblocks lexicographically nondecreasing.
%C Table starts
%C ......81.........491...........2830............14206.............68508
%C .....491........7572.........111413..........1383154..........16383311
%C ....2830......111413........4502701........151143466........4798857522
%C ...14206.....1383154......151143466......14708332687.....1363649327987
%C ...68508....16383311.....4798857522....1363649327987...379440722213179
%C ..311076...175923930...132027608391..108742082786809.90858740650768354
%C .1375313..1825712439..3385586913849.7942265856994338
%C .5904417.18040920199.78835118572937
%H R. H. Hardin, <a href="/A205063/b205063.txt">Table of n, a(n) for n = 1..59</a>
%e Some solutions for n=4 k=3
%e ..1..1..0..1....1..0..2..1....1..0..1..1....0..1..2..2....0..2..1..2
%e ..2..0..2..2....0..2..2..1....2..2..2..1....0..0..1..1....1..2..2..2
%e ..1..2..0..2....1..2..0..2....2..2..2..1....2..1..2..2....2..0..2..2
%e ..1..2..2..0....0..2..2..1....2..2..2..1....2..2..0..0....2..2..2..2
%e ..1..2..0..2....1..2..0..2....2..2..2..1....1..2..2..0....0..2..2..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jan 21 2012