%I #5 Mar 31 2012 12:36:53
%S 65536,83521,83521,104976,113856,104976,130321,153874,153874,130321,
%T 160000,206145,225858,206145,160000,194481,273683,330853,330853,
%U 273683,194481,234256,359970,481798,533832,481798,359970,234256,279841,468980
%N T(n,k)=Number of (n+3)X(k+3) binary arrays with consecutive windows of four bits considered as a binary number nondecreasing in every row and column
%C Table starts
%C ..65536..83521..104976..130321...160000...194481....234256....279841....331776
%C ..83521.113856..153874..206145...273683...359970....468980....605203....773669
%C .104976.153874..225858..330853...481798...695114....991196...1394929...1936228
%C .130321.206145..330853..533832...857408..1360328...2121734...3245653...4866027
%C .160000.273683..481798..857408..1515902..2631416...4457228...7350643..11802908
%C .194481.359970..695114.1360328..2631416..4958318...9044252..15949741..27226555
%C .234256.468980..991196.2121734..4457228..9044252..17632598..33032581..59606286
%C .279841.605203.1394929.3245653..7350643.15949741..33032581..65399112.124211368
%C .331776.773669.1936228.4866027.11802908.27226555..59606286.124211368.247473102
%C .390625.979972.2650602.7152307.18474721.45087162.103928266.227205936.473559376
%H R. H. Hardin, <a href="/A202939/b202939.txt">Table of n, a(n) for n = 1..7806</a>
%F Empirical: column k is a polynomial in n of degree k+3
%e Some solutions for n=2 k=3
%e ..0..0..0..0..0..0....0..0..0..0..0..1....0..0..0..0..0..1....0..0..0..0..0..0
%e ..0..0..0..1..1..0....0..0..1..1..0..1....0..0..1..1..0..1....0..0..1..0..0..0
%e ..0..0..1..0..0..0....0..0..1..1..0..1....0..0..0..0..0..1....0..0..0..1..1..0
%e ..0..0..0..1..0..1....0..1..1..1..1..1....0..0..0..1..0..1....0..1..1..1..1..1
%e ..0..0..1..0..1..0....0..0..0..0..0..1....0..0..1..1..0..1....0..0..0..1..0..1
%Y Column 1 is A000583(n+15)
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Dec 26 2011