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Number of (n+1)X5 0..2 arrays with every 2X2 subblock having unequal diagonal elements or unequal antidiagonal elements, and new values 0..2 introduced in row major order
1

%I #5 Mar 31 2012 12:37:02

%S 6144,933462,141832254,21550390395,3274427479938,497525810748759,

%T 75595484720747496,11486192649538372653,1745244733464500021670,

%U 265177441526573391694167,40291813604266663731304284

%N Number of (n+1)X5 0..2 arrays with every 2X2 subblock having unequal diagonal elements or unequal antidiagonal elements, and new values 0..2 introduced in row major order

%C Column 4 of A204630

%H R. H. Hardin, <a href="/A204626/b204626.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 165*a(n-1) -2025*a(n-2) +6241*a(n-3) -270*a(n-4) -17282*a(n-5) +5524*a(n-6) +11864*a(n-7) +1568*a(n-8)

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 17 2012