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%I #5 Mar 31 2012 12:35:56
%S 29,58,58,150,74,150,335,239,239,335,728,578,1436,578,728,1499,1599,
%T 5760,5760,1599,1499,2968,4233,25954,44050,25954,4233,2968,5645,11128,
%U 104404,360196,360196,104404,11128,5645,10331,28248,422992,2628898,5727704
%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with rows and columns in nondecreasing order and with no 2X2 subblock sum differing from a horizontal or vertical neighbor subblock sum by more than one
%C Table starts
%C ....29.....58......150.......335.........728........1499........2968
%C ....58.....74......239.......578........1599........4233.......11128
%C ...150....239.....1436......5760.......25954......104404......422992
%C ...335....578.....5760.....44050......360196.....2628898....18149260
%C ...728...1599....25954....360196.....5727704....78169918..1001709070
%C ..1499...4233...104404...2628898....78169918..2187790488.53028481224
%C ..2968..11128...422992..18149260..1001709070.53028481224
%C ..5645..28248..1588555.114306440.11365443208
%C .10331..67622..5471235.641511811
%C .18242.152873.17366119
%H R. H. Hardin, <a href="/A184081/b184081.txt">Table of n, a(n) for n = 1..84</a>
%e Some solutions for 3X3
%e ..1..2..2....0..1..1....0..0..0....0..0..0....1..2..2....0..1..1....0..1..1
%e ..2..0..1....1..1..1....0..0..0....0..0..0....2..1..1....2..0..2....1..0..0
%e ..2..1..2....1..1..1....0..0..1....0..0..0....2..1..2....2..0..2....1..0..2
%e ...
%e ...5..5.......3..4.......0..0.......0..0.......6..6.......3..4.......2..2...
%e ...5..4.......4..4.......0..1.......0..0.......6..5.......4..4.......2..2...
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Jan 09 2011
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