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%I #5 Mar 31 2012 12:35:55
%S 81,459,459,2601,4401,2601,15759,43163,43163,15759,95481,459821,
%T 746017,459821,95481,586791,4911675,14219749,14219749,4911675,586791,
%U 3606201,53575889,272110811,492135291,272110811,53575889,3606201,22235391
%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock sum differing from a horizontal or vertical neighbor subblock sum by more than one
%C Table starts
%C ........81.........459..........2601..........15759..........95481
%C .......459........4401.........43163.........459821........4911675
%C ......2601.......43163........746017.......14219749......272110811
%C .....15759......459821......14219749......492135291....17133244697
%C .....95481.....4911675.....272110811....17133244697..1088246684231
%C ....586791....53575889....5344196941...615149254565.71600778588343
%C ...3606201...584520435..105022040225.22112885527475
%C ..22235391..6415409881.2080498882227
%C .137100681.70404186587
%C .845893287
%H R. H. Hardin, <a href="/A183971/b183971.txt">Table of n, a(n) for n = 1..60</a>
%e Some solutions for 3X3
%e ..1..1..2....1..1..1....2..1..1....1..1..1....1..2..0....1..2..1....1..0..0
%e ..2..2..0....0..0..0....1..2..2....0..1..0....0..1..1....1..1..1....2..2..2
%e ..0..2..2....1..1..0....2..0..2....1..1..1....2..0..1....2..1..1....2..0..1
%e ...
%e ...6..5.......2..2.......6..6.......3..3.......4..4.......5..5.......5..4...
%e ...6..6.......2..1.......5..6.......3..3.......3..3.......5..4.......6..5...
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Jan 08 2011