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 A188768 #7 Jul 22 2025 11:22:08 %S A188768 7,49,240,1103,5357,26564,130828,641137,3143331,15426387,75714198, %T A188768 371548402,1823195326,8946675170,43903164079,215441286043, %U A188768 1057208843688,5187912250379,25458023997998,124927142385391,613040099740828 %N A188768 Number of nX3 binary arrays without the pattern 0 1 0 vertically or horizontally. %C A188768 Column 3 of A188774 %H A188768 R. H. Hardin, <a href="/A188768/b188768.txt">Table of n, a(n) for n = 1..200</a> %F A188768 Empirical: a(n) = 5*a(n-1) -6*a(n-2) +23*a(n-3) +18*a(n-4) +5*a(n-5) +49*a(n-6) -30*a(n-7) -87*a(n-8) -6*a(n-9) +19*a(n-10) +8*a(n-11) +5*a(n-12) -a(n-13) -a(n-14) %e A188768 Some solutions for 4X3 %e A188768 ..1..0..1....0..1..1....1..0..1....1..1..1....1..1..0....0..0..1....1..1..0 %e A188768 ..1..0..1....1..0..1....1..0..0....1..0..0....0..0..1....0..0..0....1..1..1 %e A188768 ..1..0..1....1..0..0....0..0..0....0..0..1....0..0..1....1..1..0....1..0..1 %e A188768 ..0..0..0....1..1..0....1..0..0....0..1..1....1..0..0....1..1..1....1..1..0 %K A188768 nonn %O A188768 1,1 %A A188768 _R. H. Hardin_ Apr 09 2011