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

%I #5 Mar 31 2012 12:37:00

%S 938,25277,706454,19934369,563880962,15960507749,451830740558,

%T 12791537916233,362138172985082,10252434870775373,290255213590923014,

%U 8217375177569472881,232640981675680448882,6586267002045127095221

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

%C Column 4 of A204076

%H R. H. Hardin, <a href="/A204072/b204072.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 32*a(n-1) -55*a(n-2) -1588*a(n-3) +5428*a(n-4) -2664*a(n-5) -3936*a(n-6) +3040*a(n-7) -256*a(n-8)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 10 2012