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%I #4 Feb 01 2015 12:26:18
%S 512,2696,2696,12260,9292,12260,47140,34780,39661,47140,170504,111443,
%T 129677,128366,170504,586508,375458,388056,380406,443179,586508,
%U 1964388,1206693,1194944,1193965,1191782,1412248,1964388,6462708,3894656,3557566
%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal sum minus antidiagonal minimum nondecreasing horizontally, vertically and ne-to-sw antidiagonally
%C Table starts
%C ......512......2696.....12260.....47140.....170504.....586508....1964388
%C .....2696......9292.....34780....111443.....375458....1206693....3894656
%C ....12260.....39661....129677....388056....1194944....3557566...10792398
%C ....47140....128366....380406...1193965....3638432...11160591...32790229
%C ...170504....443179...1191782...3450189....8246808...22508196...59892062
%C ...586508...1412248...3475823...9912158...22791266...64180262..174169154
%C ..1964388...4537801..10616893..27729322...59711718..159929222..479026957
%C ..6462708..14148124..30951404..76395530..169166380..422261032.1214424748
%C .21003228..44000373..91111523.209879361..447759396.1101303388.3174330616
%C .67662328.134814295.263691372.578181034.1237374354.3062450549.8371947986
%H R. H. Hardin, <a href="/A254553/b254553.txt">Table of n, a(n) for n = 1..422</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 27] for n>32
%F k=2: [order 52] for n>59
%F k=3: [order 91] for n>95
%F Empirical for row n:
%F n=1: [linear recurrence of order 27] for n>32
%F n=2: [order 54] for n>62
%e Some solutions for n=3 k=4
%e ..0..0..0..1..1..1....0..0..0..0..0..1....0..0..1..0..0..0....0..0..0..0..0..1
%e ..1..1..1..1..1..1....1..0..0..1..1..0....0..0..0..0..1..0....0..0..0..1..1..1
%e ..1..0..0..0..0..0....0..0..1..1..0..1....1..0..0..0..0..0....0..0..0..1..0..1
%e ..0..1..1..1..1..1....0..0..0..0..0..0....1..1..1..1..1..1....1..1..1..1..1..0
%e ..1..1..0..1..1..1....0..0..1..1..0..1....1..0..0..1..1..1....1..0..0..1..1..1
%Y Column 1 and row 1 are A254476
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Feb 01 2015