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%I #5 Mar 31 2012 12:36:40
%S 2,6,6,10,36,10,22,174,174,22,52,922,2174,922,52,114,5202,28890,28890,
%T 5202,114,260,29180,388824,938128,388824,29180,260,600,163706,5236786,
%U 30603332,30603332,5236786,163706,600,1374,919924,70594592,997303772
%N T(n,k)=Number of nXk 0..2 arrays with no average of any element and its horizontal and vertical neighbors equal to one
%C Table starts
%C ....2........6...........10.............22...............52..............114
%C ....6.......36..........174............922.............5202............29180
%C ...10......174.........2174..........28890...........388824..........5236786
%C ...22......922........28890.........938128.........30603332........997303772
%C ...52.....5202.......388824.......30603332.......2421467558.....190970366840
%C ..114....29180......5236786......997303772.....190970366840...36460159508108
%C ..260...163706.....70594592....32523513414...15075017283404.6967106819900592
%C ..600...919924....951777602..1060675282092.1190087102438968
%C .1374..5171420..12832277870.34590199046646
%C .3162.29068726.173011315794
%H R. H. Hardin, <a href="/A200579/b200579.txt">Table of n, a(n) for n = 1..84</a>
%e Some solutions for n=5 k=3
%e ..0..0..2....0..0..0....0..0..2....0..1..0....0..0..1....0..1..1....0..0..0
%e ..0..1..2....1..0..1....1..1..2....1..2..1....0..1..1....0..0..0....1..2..2
%e ..0..1..0....2..0..0....0..0..1....2..1..2....1..0..0....0..0..0....2..1..2
%e ..1..0..0....2..1..0....0..2..0....2..2..2....0..0..1....0..0..0....2..1..1
%e ..1..2..0....0..0..1....1..0..0....1..1..1....0..0..1....0..0..1....1..2..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Nov 19 2011
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