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 A188757 #7 Jul 22 2025 11:21:07 %S A188757 7,49,240,1112,4792,20129,82807,337209,1363568,5492088,22063552, %T A188757 88498657,354619079,1420087393,5684504432,22748788280,91023096360, %U A188757 364165082465,1456849628855,5827892187561,23312857086192,93254793361944 %N A188757 Number of nX3 binary arrays without the pattern 0 0 1 vertically or horizontally. %C A188757 Column 3 of A188763 %H A188757 R. H. Hardin, <a href="/A188757/b188757.txt">Table of n, a(n) for n = 1..200</a> %F A188757 Empirical: a(n) = 8*a(n-1) -14*a(n-2) -29*a(n-3) +90*a(n-4) +12*a(n-5) -159*a(n-6) +36*a(n-7) +106*a(n-8) -35*a(n-9) -22*a(n-10) +8*a(n-11) %e A188757 Some solutions for 4X3 %e A188757 ..1..1..0....0..1..0....1..1..0....0..1..1....0..1..1....0..0..0....0..0..0 %e A188757 ..1..1..1....1..1..1....1..0..1....1..1..0....1..1..0....1..0..1....1..1..1 %e A188757 ..0..1..1....0..0..0....1..1..1....0..1..0....0..1..0....0..0..0....0..0..0 %e A188757 ..1..1..0....0..0..0....0..1..1....1..0..0....0..1..0....1..0..0....0..1..0 %K A188757 nonn %O A188757 1,1 %A A188757 _R. H. Hardin_ Apr 09 2011