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

%I #4 Dec 24 2014 17:10:52

%S 5125,52962,566649,6175841,68396118,754814607,8344115340,92323408351,

%T 1021735293006,11308017602699,125180171364182,1385716957726254,

%U 15339892700716254,169817995114956373,1879945236822418013

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

%C Row 2 of A252917

%H R. H. Hardin, <a href="/A252919/b252919.txt">Table of n, a(n) for n = 1..107</a>

%e Some solutions for n=2

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 24 2014