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Number of (n+1)X5 0..6 arrays with every 2X2 subblock having equal diagonal elements or equal antidiagonal elements
1

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

%S 1399489,222645367,39572771665,7265109130279,1337957259758497,

%T 247090069595954263,45601045546133880817,8420752441494326059399,

%U 1554515329791272083118401,287024986300394858824793527

%N Number of (n+1)X5 0..6 arrays with every 2X2 subblock having equal diagonal elements or equal antidiagonal elements

%C Column 4 of A203887

%H R. H. Hardin, <a href="/A203883/b203883.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 115*a(n-1) +17016*a(n-2) -763308*a(n-3) -1177416*a(n-4) +49714560*a(n-5) +35870688*a(n-6) -153031680*a(n-7)

%e Some solutions for n=4

%e ..4..4..1..1..1....2..2..0..5..1....5..3..5..6..3....2..4..1..5..0

%e ..6..4..4..1..0....5..2..2..0..5....6..5..0..5..6....2..2..4..1..5

%e ..2..6..4..4..1....6..5..2..2..0....1..6..5..4..5....5..2..2..4..1

%e ..2..2..6..4..4....4..6..5..2..2....6..2..6..5..3....4..5..2..2..4

%e ..2..3..2..6..4....1..4..6..5..2....5..6..0..6..5....0..4..5..2..2

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 07 2012