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Number of (n+1)X4 0..3 arrays with every 2X2 subblock determinant equal to exactly one or two horizontal and vertical neighbor 2X2 subblock determinants
1

%I #5 Mar 31 2012 12:36:06

%S 2366,63504,696596,17120960,281080458,5705992444,101397910418,

%T 1975255121820,36536246624156,698504377421396,13068876867153840,

%U 247806236334676870,4660784800342463574,88125623567615622304

%N Number of (n+1)X4 0..3 arrays with every 2X2 subblock determinant equal to exactly one or two horizontal and vertical neighbor 2X2 subblock determinants

%C Column 3 of A186786

%H R. H. Hardin, <a href="/A186785/b186785.txt">Table of n, a(n) for n = 1..40</a>

%e Some solutions for 3X4

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 26 2011