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%I #4 Feb 14 2015 10:48:24
%S 108,265,265,623,522,623,1483,964,964,1483,3658,2005,1824,2005,3658,
%T 8830,4405,3696,3696,4405,8830,21442,9989,8631,9484,8631,9989,21442,
%U 51939,22601,20972,24034,24034,20972,22601,51939,125961,50980,50587,63535
%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 2 and no row sum 0 and no column sum 0
%C Table starts
%C ....108....265....623....1483.....3658.....8830.....21442......51939
%C ....265....522....964....2005.....4405.....9989.....22601......50980
%C ....623....964...1824....3696.....8631....20972.....50587.....121381
%C ...1483...2005...3696....9484....24034....63535....169879.....457314
%C ...3658...4405...8631...24034....70938...211945....644545....1975790
%C ...8830...9989..20972...63535...211945...753882...2657415....9064874
%C ..21442..22601..50587..169879...644545..2657415..10823026...41029852
%C ..51939..50980.121381..457314..1975790..9064874..41029852..176178559
%C .125961.114903.289648.1242486..5959612.29870755.147005440..707838529
%C .305879.261406.701088.3394161.17859777.97410200.528612584.2852501049
%H R. H. Hardin, <a href="/A255091/b255091.txt">Table of n, a(n) for n = 1..967</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 20] for n>23
%F k=2: [order 80] for n>84
%F k=3: [order 34] for n>39
%F k=4: [order 39] for n>45
%F k=5: [order 42] for n>51
%F k=6: [order 48] for n>56
%F k=7: [order 54] for n>63
%e Some solutions for n=4 k=4
%e ..0..1..0..1..0..1....1..0..0..1..1..1....0..1..1..0..1..1....1..1..0..1..1..1
%e ..1..0..1..1..1..0....0..1..1..1..1..1....0..1..0..1..1..1....1..1..1..1..1..1
%e ..0..1..0..1..1..1....0..1..1..1..1..1....1..1..1..1..1..1....0..1..1..1..1..1
%e ..1..0..1..0..1..1....1..1..1..1..0..1....0..1..1..1..1..1....1..1..1..1..0..0
%e ..0..1..0..1..0..1....1..1..1..0..1..1....1..1..1..1..1..1....1..1..1..0..0..1
%e ..1..1..1..0..1..0....1..1..0..1..1..0....1..1..1..1..1..0....1..1..0..1..1..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Feb 14 2015
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