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 A188709 #11 Apr 28 2018 12:49:10 %S A188709 13,120,1141,10857,103484,986929,9413801,89796720,856564045, %T A188709 8170716249,77940041492,743466128137,7091886123065,67649146608936, %U A188709 645301822994341,6155501787932937,58717023436375724,560098747441089889 %N A188709 Number of 5 X n binary arrays without the pattern 0 0 diagonally or vertically. %C A188709 Row 5 of A188706. %H A188709 R. H. Hardin, <a href="/A188709/b188709.txt">Table of n, a(n) for n = 1..200</a> %F A188709 Empirical: a(n) = 13*a(n-1) - 36*a(n-2) + 29*a(n-3) - 5*a(n-4) for n>5. %F A188709 Empirical g.f.: x*(13 - 49*x + 49*x^2 - 33*x^3 + 4*x^4) / ((1 - x)*(1 - 12*x + 24*x^2 - 5*x^3)). - _Colin Barker_, Apr 28 2018 %e A188709 Some solutions for 5 X 3: %e A188709 0 0 0 1 1 0 0 0 1 1 1 1 0 1 0 1 1 1 1 1 1 %e A188709 1 1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 %e A188709 0 0 1 1 1 1 1 1 1 1 0 1 0 1 0 0 1 1 1 1 1 %e A188709 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 0 %e A188709 0 1 1 0 0 0 0 1 1 1 1 1 1 0 1 1 0 1 0 0 1 %Y A188709 Cf. A188706. %K A188709 nonn %O A188709 1,1 %A A188709 _R. H. Hardin_, Apr 08 2011