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Number of nX7 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally or antidiagonally, top left element zero, and 1 appearing before 2 3 and 4, and 2 appearing before 3 in row major order
1

%I #4 Dec 06 2013 05:42:58

%S 2136,63927526,2085188355031,68131170547319605,2226181797646725541747,

%T 72740398470430937674004869,2376789549887845473135654118063,

%U 77661501511303736156705770125000481

%N Number of nX7 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally or antidiagonally, top left element zero, and 1 appearing before 2 3 and 4, and 2 appearing before 3 in row major order

%C Column 7 of A233217

%H R. H. Hardin, <a href="/A233216/b233216.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 33813*a(n-1) -37586312*a(n-2) +13154245126*a(n-3) -1823279915649*a(n-4) +121941114617057*a(n-5) -4330072079111646*a(n-6) +84481700679625284*a(n-7) -904847795173155960*a(n-8) +5048892735655335840*a(n-9) -12592032279830140032*a(n-10) +8367715579796052480*a(n-11)

%e Some solutions for n=2

%e ..0..0..0..1..5..5..1....0..0..0..0..1..1..0....0..0..0..1..2..1..5

%e ..0..0..0..2..1..3..4....0..0..1..2..5..4..2....0..0..1..1..5..5..4

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 06 2013