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Number of (n+1)X(2+1) 0..3 arrays with every 2X2 subblock having the sum of the absolute values of the edge differences equal to 6
1

%I #4 Dec 14 2013 07:39:19

%S 716,10544,150054,2172148,31361288,453376730,6552999568,94726474064,

%T 1369292267174,19793668273524,286125054962336,4136053427471878,

%U 59788318854891712,864264410589514964,12493292614179697626

%N Number of (n+1)X(2+1) 0..3 arrays with every 2X2 subblock having the sum of the absolute values of the edge differences equal to 6

%C Column 2 of A233635

%H R. H. Hardin, <a href="/A233629/b233629.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 14*a(n-1) +61*a(n-2) -774*a(n-3) -1112*a(n-4) +13542*a(n-5) +5120*a(n-6) -98447*a(n-7) +17493*a(n-8) +306879*a(n-9) -134073*a(n-10) -393421*a(n-11) +189749*a(n-12) +211175*a(n-13) -85489*a(n-14) -45046*a(n-15) +12738*a(n-16) +2726*a(n-17) -335*a(n-18) -21*a(n-19)

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 14 2013