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 A208779 #8 Jul 06 2018 17:11:44 %S A208779 42,1764,252,420,672,1092,1764,2856,4620,7476,12096,19572,31668,51240, %T A208779 82908,134148,217056,351204,568260,919464,1487724,2407188,3894912, %U A208779 6302100,10197012,16499112,26696124,43195236,69891360,113086596 %N A208779 Number of n X 7 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 1 and 1 1 1 vertically. %C A208779 Column 7 of A208780. %H A208779 R. H. Hardin, <a href="/A208779/b208779.txt">Table of n, a(n) for n = 1..210</a> %F A208779 Empirical: a(n) = a(n-1) + a(n-2) for n>4. %F A208779 Empirical g.f.: 42*x*(1 + 41*x - 37*x^2 - 38*x^3) / (1 - x - x^2). - _Colin Barker_, Jul 06 2018 %e A208779 Some solutions for n=4: %e A208779 ..1..0..1..0..1..0..1....1..1..1..0..1..0..0....1..1..0..1..0..1..0 %e A208779 ..0..1..0..1..0..1..1....1..0..1..0..1..0..0....1..0..1..0..1..0..1 %e A208779 ..1..0..1..0..1..0..0....0..1..0..1..0..1..1....0..1..0..1..0..1..0 %e A208779 ..0..1..0..1..0..1..1....1..0..1..0..1..0..0....1..0..1..0..1..0..1 %Y A208779 Cf. A208780. %K A208779 nonn %O A208779 1,1 %A A208779 _R. H. Hardin_, Mar 01 2012