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 A189612 #7 Apr 28 2023 13:57:23 %S A189612 12,144,1164,8496,65160,515560,4075336,32031600,251533888,1976926440, %T A189612 15543816656,122208548968,960755182696,7553047614920,59379727197728, %U A189612 466827426445200,3670067881137352,28853031765433504,226834374728410104 %N A189612 Number of n X 4 binary arrays without the pattern 0 1 0 diagonally, antidiagonally or horizontally. %C A189612 Column 4 of A189617. %H A189612 R. H. Hardin, <a href="/A189612/b189612.txt">Table of n, a(n) for n = 1..200</a> %F A189612 Empirical: a(n) = 12*a(n-1) -29*a(n-2) -69*a(n-3) +512*a(n-4) -1626*a(n-5) +60*a(n-6) +9924*a(n-7) -9708*a(n-8) +1120*a(n-9) +1064*a(n-10) -73360*a(n-11) +46560*a(n-12) +40960*a(n-13) +31616*a(n-14) +147456*a(n-15) -64000*a(n-16) -110592*a(n-17) -16384*a(n-18) -32768*a(n-19). %e A189612 Some solutions for 3 X 4 %e A189612 ..1..1..1..1....0..1..1..0....1..1..0..0....1..0..0..0....1..1..1..0 %e A189612 ..1..1..0..1....1..1..0..1....1..1..1..0....1..0..1..1....0..1..1..0 %e A189612 ..0..0..1..1....1..0..1..1....1..1..1..0....1..1..0..1....0..1..1..1 %Y A189612 Cf. A189617. %K A189612 nonn %O A189612 1,1 %A A189612 _R. H. Hardin_, Apr 24 2011