%I #4 May 17 2014 19:21:19

%S 14,46,175,745,3482,17670,96472,562109,3469255,22511261,152416564,

%T 1068885011,7711216523,56883599674,426892077104,3245855512924,

%U 24923815228380,192793238658181,1499479762818409,11709699180354092

%N Number of length n+3 0..7 arrays with no four elements in a row with pattern aabb (with a!=b) and new values 0..7 introduced in 0..7 order

%C Column 7 of A242584

%H R. H. Hardin, <a href="/A242583/b242583.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 29*a(n-1) -365*a(n-2) +2751*a(n-3) -14728*a(n-4) +62166*a(n-5) -215704*a(n-6) +627128*a(n-7) -1562623*a(n-8) +3360115*a(n-9) -6247103*a(n-10) +10125897*a(n-11) -14168297*a(n-12) +17087259*a(n-13) -17667849*a(n-14) +15155431*a(n-15) -10856310*a(n-16) +6024124*a(n-17) -2417520*a(n-18) +705600*a(n-19)

%e Some solutions for n=4

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

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

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

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

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

%e ..3....3....0....1....5....1....0....0....3....3....2....2....2....2....0....1

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

%K nonn

%O 1,1

%A _R. H. Hardin_, May 17 2014