login
Number of nX7 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 1 and 1 1 0 vertically
1

%I #5 Mar 31 2012 12:37:25

%S 42,1764,7086,31419,169974,992574,6206445,40122936,265568130,

%T 1780946115,12045557394,81883111842,558396389421,3815311552572,

%U 26099962612902,178677791790795,1223770846004094,8384018150245206,57448693695345549

%N Number of nX7 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 1 and 1 1 0 vertically

%C Column 7 of A208840

%H R. H. Hardin, <a href="/A208839/b208839.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 11*a(n-1) -17*a(n-2) -124*a(n-3) +276*a(n-4) +396*a(n-5) -902*a(n-6) -462*a(n-7) +946*a(n-8) +220*a(n-9) -340*a(n-10) -44*a(n-11) +39*a(n-12) +3*a(n-13) -a(n-14) for n>15

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 01 2012