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Number of nX2 0..6 arrays with every 2X2 subblock containing exactly one value repeat, and new values 0..6 introduced in row major order
1

%I #5 Mar 31 2012 12:37:28

%S 2,6,57,700,10676,192994,3966581,89157292,2122477292,52308803176,

%T 1315354516436,33456562887760,856485703088336,22005434702222368,

%U 566526069249475088,14601678389694957760,376583948372941600448

%N Number of nX2 0..6 arrays with every 2X2 subblock containing exactly one value repeat, and new values 0..6 introduced in row major order

%C Column 2 of A209465

%H R. H. Hardin, <a href="/A209459/b209459.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 44*a(n-1) -456*a(n-2) -1360*a(n-3) +25892*a(n-4) +16752*a(n-5) -259776*a(n-6) -406080*a(n-7) -129600*a(n-8) for n>9

%e Some solutions for n=4

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

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

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

%e ..3..4....1..2....0..0....1..2....0..2....0..0....4..4....0..2....3..1....2..0

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 09 2012