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Number of (n+1)X5 0..2 arrays with every 2X2 subblock having equal diagonal elements or equal antidiagonal elements
1

%I #5 Mar 31 2012 12:36:58

%S 5625,151659,4238721,119606211,3383285769,95763046491,2710984443345,

%T 76749227497395,2172829037910489,61514609224652235,

%U 1741531281545538081,49304251065416837283,1395845890054082693289,39517602012270762571323

%N Number of (n+1)X5 0..2 arrays with every 2X2 subblock having equal diagonal elements or equal antidiagonal elements

%C Column 4 of A203835

%H R. H. Hardin, <a href="/A203831/b203831.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 31*a(n-1) -24*a(n-2) -1612*a(n-3) +3816*a(n-4) +1152*a(n-5) -2784*a(n-6) +256*a(n-7)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 06 2012