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%I #10 Dec 05 2019 09:48:24
%S 3,9,9,23,71,23,57,417,417,57,145,2291,4722,2291,145,373,12961,49481,
%T 49481,12961,373,957,75111,541932,989731,541932,75111,957,2449,435829,
%U 6076168,20749217,20749217,6076168,435829,2449,6267,2516107,67929575
%N T(n,k) is the number of n X k (0,1,2) arrays of permanents of 2 X 2 subblocks of some (n+1) X (k+1) binary array.
%C Table starts
%C ......3..........9.............23...............57...............145
%C ......9.........71............417.............2291.............12961
%C .....23........417...........4722............49481............541932
%C .....57.......2291..........49481...........989731..........20749217
%C ....145......12961.........541932.........20749217.........838184554
%C ....373......75111........6076168........443724135.......34632124236
%C ....957.....435829.......67929575.......9461306257.....1426163794260
%C ...2449....2516107......756046291.....201065855279....58502335399707
%C ...6267...14498679.....8410591772....4271553412923..2398927985473786
%C ..16045...83596597....93621762980...90781653057341.98415203461205054
%C ..41083..482294269..1042359550109.1929581833121135
%C .105185.2782594803.11604658170466
%H R. H. Hardin, <a href="/A226852/b226852.txt">Table of n, a(n) for n = 1..112</a>
%F Empirical for column k:
%F k=1: a(n) = 3*a(n-1) -2*a(n-2) +2*a(n-3) +a(n-4) -a(n-5)
%F k=2: [order 19]
%F k=3: [order 51]
%e Some solutions for n=3 k=4
%e ..0..1..0..0....1..0..1..1....0..0..1..1....0..0..1..0....1..1..1..0
%e ..2..0..0..1....1..1..2..1....2..1..1..1....0..0..1..0....1..1..2..1
%e ..1..1..1..0....0..0..1..1....2..1..1..2....1..1..2..2....1..2..1..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jun 19 2013
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