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 A202095 #7 Jul 22 2025 16:28:50 %S A202095 720,3600,12000,40000,105000,275625,617400,1382976,2765952,5531904, %T A202095 10160640,18662400,32076000,55130625,89842500,146410000,228399600, %U A202095 356303376,535927392,806105664,1175570760,1714374025,2434614000 %N A202095 Number of (n+2)X5 binary arrays avoiding patterns 001 and 011 in rows and columns. %C A202095 Column 3 of A202100 %H A202095 R. H. Hardin, <a href="/A202095/b202095.txt">Table of n, a(n) for n = 1..210</a> %F A202095 Empirical: a(n) = 2*a(n-1) +8*a(n-2) -18*a(n-3) -27*a(n-4) +72*a(n-5) +48*a(n-6) -168*a(n-7) -42*a(n-8) +252*a(n-9) -252*a(n-11) +42*a(n-12) +168*a(n-13) -48*a(n-14) -72*a(n-15) +27*a(n-16) +18*a(n-17) -8*a(n-18) -2*a(n-19) +a(n-20) %e A202095 Some solutions for n=4 %e A202095 ..1..1..1..0..0....1..1..0..1..0....1..1..1..1..0....1..1..0..0..0 %e A202095 ..1..1..1..0..1....1..1..1..0..1....1..1..1..0..0....1..1..0..1..0 %e A202095 ..1..1..1..0..0....0..1..0..1..0....1..1..1..1..0....0..1..0..0..0 %e A202095 ..0..0..0..0..0....1..1..1..0..1....1..1..0..0..0....0..1..0..0..0 %e A202095 ..0..1..0..0..0....0..1..0..1..0....1..1..0..0..0....0..0..0..0..0 %e A202095 ..0..0..0..0..0....1..0..1..0..1....1..0..0..0..0....0..1..0..0..0 %K A202095 nonn %O A202095 1,1 %A A202095 _R. H. Hardin_ Dec 11 2011