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Number of (n+1)X4 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 36,708,5936,59384,559188,5442964,52129536,504455124,4854725100,

%T 46887124724,451957889654,4361947021824,42069191516912,

%U 405915840934652,3915635058654824,37777592945924012,364442490419332262

%N Number of (n+1)X4 binary arrays with every 2X2 subblock sum equal to some horizontal or vertical neighbor 2X2 subblock sum

%C Column 3 of A185497

%H R. H. Hardin, <a href="/A185491/b185491.txt">Table of n, a(n) for n = 1..251</a>

%e Some solutions for 6X4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 29 2011