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 A208503 #8 Jul 03 2018 16:57:43 %S A208503 13,169,234,650,1794,4992,13806,38376,106236,295074,817362,2269098, %T A208503 6288048,17450550,48371544,134210700,372088314,1032237882,2862135666, %U A208503 7939298016,22015398366,61064779464,169339275612,469681757298 %N A208503 Number of 5 X n 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 0 and 1 1 1 vertically. %C A208503 Row 5 of A208501. %H A208503 R. H. Hardin, <a href="/A208503/b208503.txt">Table of n, a(n) for n = 1..210</a> %F A208503 Empirical: a(n) = a(n-1) + 6*a(n-2) - 3*a(n-3) for n>5. %F A208503 Empirical g.f.: 13*x*(1 + 12*x - x^2 - 43*x^3 + 19*x^4) / (1 - x - 6*x^2 + 3*x^3). - _Colin Barker_, Jul 03 2018 %e A208503 Some solutions for n=4: %e A208503 ..0..1..1..1....1..1..1..1....1..1..0..0....1..0..1..1....0..1..0..0 %e A208503 ..0..1..0..1....0..1..0..1....1..0..1..1....0..1..1..1....1..1..0..1 %e A208503 ..1..0..1..0....1..0..1..0....0..1..1..1....1..1..0..0....1..0..1..1 %e A208503 ..1..0..1..1....1..0..1..0....0..1..0..0....1..0..1..0....0..1..1..0 %e A208503 ..0..1..0..1....0..1..0..1....1..0..1..0....0..1..1..1....0..1..0..0 %Y A208503 Cf. A208501. %K A208503 nonn %O A208503 1,1 %A A208503 _R. H. Hardin_, Feb 27 2012