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%I #5 Mar 31 2012 12:36:02
%S 0,24,24,36,128,36,160,708,708,160,380,3792,5936,3792,380,1332,20872,
%T 59384,59384,20872,1332,3616,114724,559188,1020072,559188,114724,3616,
%U 11828,631720,5442964,17217132,17217132,5442964,631720,11828,33764
%N T(n,k)=Number of (n+1)X(k+1) binary arrays with every 2X2 subblock sum equal to some horizontal or vertical neighbor 2X2 subblock sum
%C Table starts
%C ......0........24..........36...........160............380...........1332
%C .....24.......128.........708..........3792..........20872.........114724
%C .....36.......708........5936.........59384.........559188........5442964
%C ....160......3792.......59384.......1020072.......17217132......294899588
%C ....380.....20872......559188......17217132......512228678....15557758676
%C ...1332....114724.....5442964.....294899588....15557758676...835833221744
%C ...3616....631720....52129536....5020204316...468319269164.44566790792864
%C ..11828...3480976...504455124...85864759616.14183811777874
%C ..33764..19187324..4854725100.1465390598424
%C .107240.105781152.46887124724
%H R. H. Hardin, <a href="/A185497/b185497.txt">Table of n, a(n) for n = 1..84</a>
%e Some solutions for 5X4
%e ..0..1..1..0....1..1..0..1....0..1..0..1....1..1..1..0....1..1..1..1
%e ..0..0..1..1....1..1..0..1....1..1..1..0....1..1..1..0....0..1..1..1
%e ..1..0..0..1....1..1..1..0....1..0..1..0....0..1..0..1....1..1..1..1
%e ..0..1..1..1....1..0..1..1....0..1..0..1....1..0..0..1....0..0..1..0
%e ..1..0..0..1....0..1..0..1....0..0..0..0....0..1..0..1....1..1..0..1
%K nonn,tabl
%O 1,2
%A _R. H. Hardin_ Jan 29 2011
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