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Number of (n+1)X(n+1) 0..1 arrays with every 2X2 subblock having equal diagonal elements or equal antidiagonal elements
1

%I #6 Mar 31 2012 12:36:56

%S 12,164,5208,387324,67731264,27913330472,27149753088792,

%T 62383316832685348,338853014329060508760,4353185098169744392741448,

%U 132316928041105714306034574480,9518293354852895518368238072987352

%N Number of (n+1)X(n+1) 0..1 arrays with every 2X2 subblock having equal diagonal elements or equal antidiagonal elements

%C Diagonal of A203378

%H R. H. Hardin, <a href="/A203372/b203372.txt">Table of n, a(n) for n = 1..14</a>

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 31 2011