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Number of (n+2)X(5+2) 0..3 arrays with every consecutive three elements in every row and column having exactly 2 distinct values, in every diagonal 1 or 2 distinct values, in every antidiagonal 2 or 3 distinct values, and new values 0 upwards introduced in row major order
1

%I #4 Dec 24 2014 16:13:48

%S 148002,1984711,31101826,551697392,10071548995,185083140208,

%T 3432079272308,63917781774130,1189216087999842,22172790012297477,

%U 413807264155508155,7714424687633807507,143952001359423896720

%N Number of (n+2)X(5+2) 0..3 arrays with every consecutive three elements in every row and column having exactly 2 distinct values, in every diagonal 1 or 2 distinct values, in every antidiagonal 2 or 3 distinct values, and new values 0 upwards introduced in row major order

%C Column 5 of A252910

%H R. H. Hardin, <a href="/A252909/b252909.txt">Table of n, a(n) for n = 1..16</a>

%e Some solutions for n=1

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 24 2014