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%I #4 Apr 22 2015 10:41:45
%S 512,2616,2616,10684,7652,10684,41140,27244,30309,41140,150016,103575,
%T 117324,119393,150016,514920,367929,450756,449022,403951,514920,
%U 1700100,1246585,1557227,1770206,1290910,1293242,1700100,5487356,4137316,5347670
%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal minimum nondecreasing horizontally, vertically and ne-to-sw antidiagonally
%C Table starts
%C ......512......2616.....10684.....41140.....150016.....514920.....1700100
%C .....2616......7652.....27244....103575.....367929....1246585.....4137316
%C ....10684.....30309....117324....450756....1557227....5347670....18009368
%C ....41140....119393....449022...1770206....5985744...19771628....64652177
%C ...150016....403951...1290910...4442466...12316842...39029574...121832476
%C ...514920...1293242...3917190..13233402...36423140..115919394...356678661
%C ..1700100...4098078..11883298..36058660...96141548..317271378..1037269100
%C ..5487356..12497488..33766938..94181694..259492076..756210536..2359203628
%C .17402796..37528750..96478988.259847932..731002818.2131836574..7099788830
%C .54388900.111339861.272492320.722844592.2006564512.5828147664.18202585668
%H R. H. Hardin, <a href="/A257426/b257426.txt">Table of n, a(n) for n = 1..338</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 36]
%F k=2: [order 47] for n>56
%F k=3: [order 88] for n>94
%F Empirical for row n:
%F n=1: [same linear recurrence of order 36]
%F n=2: [order 54] for n>66
%e Some solutions for n=3 k=4
%e ..0..0..0..0..1..1....0..0..0..0..1..1....0..0..0..1..0..0....0..0..0..0..0..0
%e ..0..0..1..0..0..1....0..0..0..0..1..1....1..1..1..1..0..0....0..0..1..0..0..0
%e ..1..1..1..0..1..1....0..0..0..0..0..0....0..1..0..0..1..1....1..0..0..0..1..1
%e ..0..1..1..1..1..0....1..1..0..1..1..1....0..1..0..1..1..0....1..1..1..1..1..1
%e ..0..1..0..0..0..1....0..0..0..1..0..0....0..1..1..1..0..1....1..1..0..1..1..1
%Y Column 1 and row 1 are A254235
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Apr 22 2015