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Number of 7X(n+1) 0..2 arrays with every 2X2 subblock in a row having an equal number of equal diagonal or equal antidiagonal elements, adjacent rows differing in this number, and new values 0..2 introduced in row major order
1

%I #5 Mar 31 2012 12:37:07

%S 64512,625512,8636544,153531936,3042034560,63787803360,1367618567424,

%T 29643515275104,645365452421376,14080651801791360,307493877105274752,

%U 6718116600373467360,146806374332666553600,3208378167723075141600

%N Number of 7X(n+1) 0..2 arrays with every 2X2 subblock in a row having an equal number of equal diagonal or equal antidiagonal elements, adjacent rows differing in this number, and new values 0..2 introduced in row major order

%C Row 6 of A205626

%H R. H. Hardin, <a href="/A205631/b205631.txt">Table of n, a(n) for n = 1..36</a>

%e Some solutions for n=4

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 29 2012