A233087 - OEIS

%I #4 Dec 03 2013 21:26:59

%S 528,88574,18378455,3813415862,793945203881,165407945648306,

%T 34467813715307081,7182856170260722382,1496883957083674317113,

%U 311947255924268504837126,65009188480607928117152141

%N Number of 6Xn 0..3 arrays with no element x(i,j) adjacent to value 3-x(i,j) horizontally or antidiagonally, top left element zero, and 1 appearing before 2 in row major order

%C Row 6 of A233082

%H R. H. Hardin, <a href="/A233087/b233087.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 364*a(n-1) -42453*a(n-2) +2436880*a(n-3) -79344169*a(n-4) +1516939086*a(n-5) -15628675074*a(n-6) +36294613392*a(n-7) +1123346476671*a(n-8) -14527002142968*a(n-9) +69635812750065*a(n-10) +6662468719530*a(n-11) -1637269772485123*a(n-12) +7134485019071854*a(n-13) -7393831633937490*a(n-14) -32355982109640858*a(n-15) +109448357570150022*a(n-16) -81722247403429008*a(n-17) -136631578511246112*a(n-18) +284995956546214704*a(n-19) -170571098629086336*a(n-20) +28670292192657024*a(n-21) for n>26

%e Some solutions for n=2

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 03 2013