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Number of (n+1)X5 binary arrays with every 2X2 subblock sum equal to some horizontal or vertical neighbor 2X2 subblock sum
1

%I #5 Mar 31 2012 12:36:02

%S 160,3792,59384,1020072,17217132,294899588,5020204316,85864759616,

%T 1465390598424,25047911812192,427817986674120,7310912481712556,

%U 124902386267052984,2134247440666874192,36465326357492615132

%N Number of (n+1)X5 binary arrays with every 2X2 subblock sum equal to some horizontal or vertical neighbor 2X2 subblock sum

%C Column 4 of A185497

%H R. H. Hardin, <a href="/A185492/b185492.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions for 4X5

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 29 2011