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%I #4 Nov 08 2016 12:30:18
%S 0,0,0,0,6,0,0,28,30,0,0,168,410,198,0,0,960,6372,7204,1230,0,0,5530,
%T 98410,315060,121826,7734,0,0,31808,1516632,13597418,14786448,2072344,
%U 48510,0,0,183000,23376048,586416930,1772657688,699721024,35217368
%N T(n,k)=Number of nXk 0..2 arrays with every element plus 1 mod 3 equal to some element at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) or (1,0), with upper left element zero.
%C Table starts
%C .0.......0...........0..............0..................0......................0
%C .0.......6..........28............168................960...................5530
%C .0......30.........410...........6372..............98410................1516632
%C .0.....198........7204.........315060...........13597418..............586416930
%C .0....1230......121826.......14786448.........1772657688...........212235186204
%C .0....7734.....2072344......699721024.......233160226732.........77589535205794
%C .0...48510....35217368....33064544648.....30622716754158......28318244060569024
%C .0..304422...598579468..1562794615162...4022851892753872...10338163442842553944
%C .0.1910190.10173619772.73862525475272.528455116917488310.3774002232626515614634
%H R. H. Hardin, <a href="/A278014/b278014.txt">Table of n, a(n) for n = 1..144</a>
%F Empirical for column k:
%F k=2: a(n) = 5*a(n-1) +8*a(n-2)
%F k=3: [order 9]
%F k=4: [order 28]
%F Empirical for row n:
%F n=2: a(n) = 6*a(n-1) -8*a(n-3) -a(n-4)
%F n=3: [order 19]
%F n=4: [order 63]
%e Some solutions for n=3 k=4
%e ..0..2..1..0. .0..1..0..0. .0..1..2..0. .0..1..0..0. .0..1..0..1
%e ..1..0..0..2. .1..2..1..1. .1..1..2..1. .0..2..2..1. .0..2..1..2
%e ..2..2..0..1. .1..1..0..2. .2..0..1..0. .1..2..2..0. .1..1..1..1
%K nonn,tabl
%O 1,5
%A _R. H. Hardin_, Nov 08 2016
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