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Number of (n+1)X4 0..3 arrays with no 2X2 subblock having equal diagonal elements or equal antidiagonal elements
1

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

%S 11664,571536,28005264,1372257936,67240638864,3294791304336,

%T 161444773912464,7910793921710736,387628902163826064,

%U 18993816206027477136,930696994095346379664,45604152710671972603536

%N Number of (n+1)X4 0..3 arrays with no 2X2 subblock having equal diagonal elements or equal antidiagonal elements

%C Column 3 of A203826

%H R. H. Hardin, <a href="/A203821/b203821.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 11664*49^(n-1)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 06 2012