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%I #10 Dec 05 2019 08:19:58
%S 16,38,38,89,152,89,218,565,565,218,538,2326,2961,2326,538,1349,9554,
%T 18257,18257,9554,1349,3410,40297,107665,180546,107665,40297,3410,
%U 8690,170754,661569,1644874,1644874,661569,170754,8690,22273,728996,4028161
%N T(n,k) is the number of (n+1) X (k+1) 0..1 matrices with each 2 X 2 permanent equal.
%C Table starts
%C ....16.......38........89..........218............538.............1349
%C ....38......152.......565.........2326...........9554............40297
%C ....89......565......2961........18257.........107665...........661569
%C ...218.....2326.....18257.......180546........1644874.........15845297
%C ...538.....9554....107665......1644874.......21910274........316084673
%C ..1349....40297....661569.....15845297......316084673.......6987578401
%C ..3410...170754...4028161....149592266.....4390392346.....146736389761
%C ..8690...728996..24772161...1430571502....62260133978....3168731910657
%C .22273..3120401.152077313..13614536577...873935026817...67464482340481
%C .57362.13387658.935846145.129950804946.12334039384018.1447369426794241
%H R. H. Hardin, <a href="/A224745/b224745.txt">Table of n, a(n) for n = 1..544</a>
%F Empirical for column k:
%F k=1: a(n) = 5*a(n-1) -6*a(n-2) -3*a(n-3) +7*a(n-4) -2*a(n-5)
%F k=2: a(n) = 7*a(n-1) -7*a(n-2) -34*a(n-3) +59*a(n-4) +27*a(n-5) -87*a(n-6) +36*a(n-7)
%F k=3: [order 9]
%F k=4: [order 13]
%F k=5: [order 20]
%F k=6: [order 34]
%F k=7: [order 55]
%e Some solutions for n=3 k=4
%e ..0..0..1..0..1....1..0..1..1..0....0..0..0..0..1....0..0..1..0..1
%e ..0..0..0..0..0....1..0..0..0..0....0..0..1..0..1....0..0..1..0..1
%e ..1..1..0..0..1....0..0..0..0..0....0..0..0..0..1....1..0..0..0..0
%e ..0..0..0..0..0....1..1..1..0..1....1..0..1..0..1....1..0..0..0..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Apr 17 2013
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