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%I #4 Jan 27 2016 19:37:58
%S 1,4,4,15,64,15,55,900,900,55,197,12100,44517,12100,197,695,155236,
%T 2059071,2059071,155236,695,2421,1932100,88808673,320575732,88808673,
%U 1932100,2421,8351,23444964,3660830427,45491100473,45491100473
%N T(n,k)=Number of nXk 0..3 arrays with every repeated value in every row and column one larger mod 4 than the previous repeated value, and upper left element zero.
%C Table starts
%C ....1.........4............15..............55..............197..............695
%C ....4........64...........900...........12100...........155236..........1932100
%C ...15.......900.........44517.........2059071.........88808673.......3660830427
%C ...55.....12100.......2059071.......320575732......45491100473....6079523426038
%C ..197....155236......88808673.....45491100473...20767565076062.8800216390226342
%C ..695...1932100....3660830427...6079523426038.8800216390226342
%C .2421..23444964..145301219913.772758264915572
%C .8351.278956804.5600451934263
%H R. H. Hardin, <a href="/A268169/b268169.txt">Table of n, a(n) for n = 1..60</a>
%F Empirical for column k:
%F k=1: a(n) = 5*a(n-1) -2*a(n-2) -12*a(n-3)
%F k=2: a(n) = 23*a(n-1) -106*a(n-2) -724*a(n-3) +4128*a(n-4) +9216*a(n-5) -20736*a(n-6)
%e Some solutions for n=3 k=4
%e ..0..1..3..2....0..3..3..0....0..0..3..1....0..1..0..0....0..1..3..2
%e ..2..1..3..2....2..3..0..2....2..1..2..3....2..2..3..3....2..0..0..3
%e ..0..2..2..0....0..0..1..3....2..0..0..3....0..0..2..1....0..2..0..3
%K nonn,tabl
%O 1,2
%A _R. H. Hardin_, Jan 27 2016
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