This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A208005 #7 Jul 22 2025 21:05:53 %S A208005 22,484,1690,4993,24512,90232,486443,2001968,10846870,47911153, %T A208005 256232284,1188682252,6276190547,30137070988,157660283714, %U A208005 775400765057,4032502502920,20159263106416,104466312892411,528009028013752 %N A208005 Number of nX6 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 1 1 and 1 1 0 vertically. %C A208005 Column 6 of A208007 %H A208005 R. H. Hardin, <a href="/A208005/b208005.txt">Table of n, a(n) for n = 1..210</a> %F A208005 Empirical: a(n) = 9*a(n-1) -2*a(n-2) -170*a(n-3) +392*a(n-4) +322*a(n-5) -1512*a(n-6) +474*a(n-7) +1498*a(n-8) -942*a(n-9) -376*a(n-10) +326*a(n-11) +a(n-12) -19*a(n-13) for n>14 %e A208005 Some solutions for n=4 %e A208005 ..0..1..0..1..1..1....0..1..0..1..0..1....1..1..1..1..1..0....0..0..0..0..0..0 %e A208005 ..0..0..0..0..0..0....0..1..1..0..1..1....1..0..1..1..0..1....1..0..1..0..1..0 %e A208005 ..1..0..1..0..1..0....1..1..0..1..0..1....1..1..1..1..1..0....0..1..0..1..0..1 %e A208005 ..0..1..0..1..0..1....0..1..1..0..1..1....1..0..1..1..0..1....1..0..1..0..1..0 %K A208005 nonn %O A208005 1,1 %A A208005 _R. H. Hardin_ Feb 22 2012