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Number of (n+1)X4 0..3 arrays with no 2X2 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..3 introduced in row major order
1

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

%S 487,23815,1166887,57177415,2801693287,137282971015,6726865579687,

%T 329616413404615,16151204256826087,791409008584478215,

%U 38779041420639432487,1900173029611332191815,93108478450955277398887

%N Number of (n+1)X4 0..3 arrays with no 2X2 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..3 introduced in row major order

%C Column 3 of A203878

%H R. H. Hardin, <a href="/A203873/b203873.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 486*49^(n-1) +1

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 07 2012