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%I #5 Mar 31 2012 12:37:05
%S 207,1720,1720,13366,47900,13366,83720,1256641,1256641,83720,496848,
%T 25243114,121990159,25243114,496848,2629706,469617426,8736632044,
%U 8736632044,469617426,2629706,13334897,7313092616,574289759868
%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with rows and columns of permanents of all 2X2 subblocks lexicographically nondecreasing, and all 2X2 permanents nonzero
%C Table starts
%C ......207.........1720..........13366...........83720..........496848
%C .....1720........47900........1256641........25243114.......469617426
%C ....13366......1256641......121990159......8736632044....574289759868
%C ....83720.....25243114.....8736632044...2336984953738.574748789388149
%C ...496848....469617426...574289759868.574748789388149
%C ..2629706...7313092616.30273558353295
%C .13334897.106645806148
%C .63159947
%H R. H. Hardin, <a href="/A205198/b205198.txt">Table of n, a(n) for n = 1..40</a>
%e Some solutions for n=4 k=3
%e ..3..2..0..2....2..3..0..3....2..1..1..3....1..3..1..0....2..3..0..3
%e ..3..0..3..3....3..0..3..3....1..0..1..1....0..3..0..3....1..2..3..1
%e ..0..2..1..2....3..3..2..1....0..2..3..2....1..1..1..1....2..3..0..3
%e ..3..2..3..2....3..0..3..3....1..1..0..3....1..3..2..3....1..2..3..3
%e ..1..2..1..2....1..3..0..3....3..0..1..0....2..0..2..3....2..3..1..3
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Jan 23 2012