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 A189190 #7 Jul 22 2025 11:36:25 %S A189190 8,64,316,1494,6446,27170,111778,455376,1841116,7415070,29785050, %T A189190 119460218,478648930,1916674924,7672027140,30701884934,122843150982, %U A189190 491465083490,1966100647058,7865028551176,31461745847388,125851241881374 %N A189190 Number of nX3 binary arrays without the pattern 0 0 1 vertically or antidiagonally. %C A189190 Column 3 of A189196 %H A189190 R. H. Hardin, <a href="/A189190/b189190.txt">Table of n, a(n) for n = 1..200</a> %F A189190 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 A189190 Some solutions for 4X3 %e A189190 ..0..1..1....0..1..0....0..0..1....0..1..0....1..1..1....1..0..1....1..0..1 %e A189190 ..0..1..1....1..0..1....1..1..1....1..1..1....1..0..0....1..1..1....0..0..1 %e A189190 ..0..0..0....0..1..1....0..0..1....1..1..1....1..1..1....0..1..0....0..0..1 %e A189190 ..0..1..0....0..1..0....0..0..1....1..1..0....0..0..1....1..1..1....0..0..0 %K A189190 nonn %O A189190 1,1 %A A189190 _R. H. Hardin_ Apr 18 2011