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%I
%S 512,2554,2554,10732,13349,10732,42890,66542,66542,42890,154680,
%T 262251,319819,262251,154680,516998,844499,1015815,1015815,844499,
%U 516998,1640073,2396710,2663867,2782301,2663867,2396710,1640073,5004712,6268245
%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the central row and central column minus the two minimums of the diagonal and antidiagonal nondecreasing horizontally and vertically
%C Table starts
%C ......512.....2554....10732....42890...154680...516998...1640073...5004712
%C .....2554....13349....66542...262251...844499..2396710...6268245..15240141
%C ....10732....66542...319819..1015815..2663867..6028589..12037534..21294643
%C ....42890...262251..1015815..2782301..6304044.11484877..18040804..26715881
%C ...154680...844499..2663867..6304044.11818550.18296498..26587024..37470100
%C ...516998..2396710..6028589.11484877.18296498.27007866..38735508..53251874
%C ..1640073..6268245.12037534.18040804.26587024.38735508..56306098..77953860
%C ..5004712.15240141.21294643.26715881.37470100.53251874..77953860.109071370
%C .14785630.34366037.35521186.40022560.53161612.73958136.108710066.152280580
%C .42521002.73532563.57234252.56292649.69050742.97824928.143899574.203558922
%H R. H. Hardin, <a href="/A256954/b256954.txt">Table of n, a(n) for n = 1..1984</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 21] for n>27
%F k=2: [order 50] for n>63
%F k=3: [order 29] for n>47
%F k=4: [order 22] for n>39
%F k=5: [order 17] for n>35
%F k=6: [same order 17] for n>35
%F k=7: [same order 17] for n>37
%e Some solutions for n=2 k=4
%e ..0..0..1..0..1..1....1..1..1..0..0..0....1..0..1..0..1..0....1..0..1..0..1..1
%e ..0..0..0..0..0..1....0..0..0..1..1..0....0..0..0..0..0..0....1..0..0..1..1..0
%e ..1..0..0..1..1..1....1..1..0..1..1..1....1..1..0..1..1..0....0..1..0..1..1..0
%e ..1..1..1..1..1..0....0..0..1..0..1..0....0..0..1..0..0..1....0..0..0..0..1..1
%Y Column 1 is A255029
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Apr 13 2015
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