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%I #4 Dec 06 2014 18:14:45
%S 293,489,489,953,865,953,2257,2089,2089,2257,5151,5065,5527,5065,5151,
%T 12063,13031,16467,16467,13031,12063,29839,36075,54523,64309,54523,
%U 36075,29839,72345,100307,184139,264983,264983,184139,100307,72345,176143
%N T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 2 or 4
%C Table starts
%C ....293.....489......953......2257.......5151.......12063.........29839
%C ....489.....865.....2089......5065......13031.......36075........100307
%C ....953....2089.....5527.....16467......54523......184139........632811
%C ...2257....5065....16467.....64309.....264983.....1116829.......4748285
%C ...5151...13031....54523....264983....1374165.....7229485......38111915
%C ..12063...36075...184139...1116829....7229485....47407259.....310560937
%C ..29839..100307...632811...4748285...38111915...310560937....2525118941
%C ..72345..282489..2196747..20262955..201286237..2035481639...20534822225
%C .176143..805963..7647815..86674549.1064712861.13365199539..167304924269
%C .435429.2300981.26675183.370897287.5635265205.87801989105.1363558488437
%H R. H. Hardin, <a href="/A251682/b251682.txt">Table of n, a(n) for n = 1..264</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 14] for n>15
%F k=2: [order 21] for n>22
%F k=3: [order 32] for n>37
%F k=4: [order 50] for n>54
%F k=5: [order 89] for n>94
%e Some solutions for n=3 k=3
%e ..2..2..1..2..2....0..1..0..0..0....2..2..1..2..2....0..2..1..0..0
%e ..1..2..2..2..1....0..0..0..1..0....2..1..2..2..1....0..1..0..0..1
%e ..2..2..2..2..2....0..0..0..0..0....1..2..2..1..2....1..0..0..1..0
%e ..2..1..2..2..2....1..0..0..0..0....2..2..1..2..0....0..0..1..0..2
%e ..2..2..2..1..2....0..1..0..0..0....2..1..2..2..1....0..1..0..0..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 06 2014
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