A208424 - OEIS

%I #5 Mar 31 2012 12:37:23

%S 25,625,2625,26375,161975,1297475,8948825,67061525,479579725,

%T 3521095775,25468906525,185793853675,1348779310025,9818938648875,

%U 71365135739875,519177351902675,3774912413288375,27456054751647025,199657967390334825

%N Number of 7Xn 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 0 and 0 1 1 vertically

%C Row 7 of A208420

%H R. H. Hardin, <a href="/A208424/b208424.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 52*a(n-2) +80*a(n-3) -477*a(n-4) -656*a(n-5) +1489*a(n-6) +1910*a(n-7) -1775*a(n-8) -2192*a(n-9) +812*a(n-10) +984*a(n-11) -120*a(n-12) -144*a(n-13)

%e Some solutions for n=4

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 26 2012