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Number of (n+2)X4 0..3 arrays with every 2X2 subblock sum equal to some diagonal or antidiagonal neighbor 2X2 subblock sum
1

%I #5 Mar 31 2012 12:36:08

%S 7776,89150,2103856,39189180,823266330,16573583244,341631507734,

%T 6985467724796,143826009869640,2956672487001988,60907232736607162,

%U 1254431443692685380,25855520829210572114,532946404216704680566

%N Number of (n+2)X4 0..3 arrays with every 2X2 subblock sum equal to some diagonal or antidiagonal neighbor 2X2 subblock sum

%C Column 2 of A187356

%H R. H. Hardin, <a href="/A187355/b187355.txt">Table of n, a(n) for n = 1..55</a>

%e Some solutions for 6X4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 08 2011