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%I #4 Aug 30 2012 05:55:38
%S 1,1,1,1,2,1,1,2,2,1,1,5,4,5,1,2,12,29,29,12,2,2,42,97,371,97,42,2,5,
%T 136,1534,6150,6150,1534,136,5,5,602,7050,167130,146327,167130,7050,
%U 602,5,15,2440,188835,5219070,30312074,30312074,5219070,188835,2440,15,15,12840
%N T(n,k)=Number of horizontal, vertical and diagonal neighbor colorings of the odd squares of an nXk array with new integer colors introduced in row major order
%C Table starts
%C ..1.....1........1...........1............1.............2.............2
%C ..1.....2........2...........5...........12............42...........136
%C ..1.....2........4..........29...........97..........1534..........7050
%C ..1.....5.......29.........371.........6150........167130.......5219070
%C ..1....12.......97........6150.......146327......30312074....1355988481
%C ..2....42.....1534......167130.....30312074...10311562327.4761748786964
%C ..2...136.....7050.....5219070...1355988481.4761748786964
%C ..5...602...188835...233834847.609400419815
%C ..5..2440..1084180.11412814314
%C .15.12840.42756208
%C .15.61912
%C .52
%H R. H. Hardin, <a href="/A216031/b216031.txt">Table of n, a(n) for n = 1..84</a>
%e Some solutions for n=4 k=4
%e ..x..0..x..1....x..0..x..1....x..0..x..1....x..0..x..1....x..0..x..1
%e ..2..x..1..x....2..x..3..x....0..x..2..x....0..x..1..x....0..x..1..x
%e ..x..1..x..2....x..1..x..4....x..3..x..0....x..2..x..0....x..1..x..0
%e ..0..x..2..x....3..x..2..x....4..x..0..x....3..x..4..x....1..x..2..x
%Y Column 1 is A000110(floor((n-2)/2) for n>1
%Y Even squares: A215959
%K nonn,tabl
%O 1,5
%A _R. H. Hardin_ Aug 30 2012
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