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Number of (n+1)X(1+1) 0..5 arrays with every 2X2 subblock having the sum of the squares of the edge differences equal to 14
1

%I #4 Dec 14 2013 08:35:02

%S 144,772,3984,20936,108864,570208,2971200,15541312,81063040,423704496,

%T 2211225408,11553144144,60311293088,315043601664,1644900877696,

%U 8591310050640,44860831279136,234292373710800,1223453493401024

%N Number of (n+1)X(1+1) 0..5 arrays with every 2X2 subblock having the sum of the squares of the edge differences equal to 14

%C Column 1 of A233653

%H R. H. Hardin, <a href="/A233646/b233646.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +31*a(n-2) -36*a(n-3) -261*a(n-4) +206*a(n-5) +714*a(n-6) -356*a(n-7) -528*a(n-8) +256*a(n-9)

%e Some solutions for n=5

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 14 2013