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 A202096 #7 Jul 22 2025 16:28:56 %S A202096 1600,10000,40000,160000,490000,1500625,3841600,9834496,22127616, %T A202096 49787136,101606400,207360000,392040000,741200625,1317690000, %U A202096 2342560000,3958926400,6690585616,10837642816,17555190016,27429984400,42859350625 %N A202096 Number of (n+2)X6 binary arrays avoiding patterns 001 and 011 in rows and columns. %C A202096 Column 4 of A202100 %H A202096 R. H. Hardin, <a href="/A202096/b202096.txt">Table of n, a(n) for n = 1..210</a> %F A202096 Empirical: a(n) = 2*a(n-1) +10*a(n-2) -22*a(n-3) -44*a(n-4) +110*a(n-5) +110*a(n-6) -330*a(n-7) -165*a(n-8) +660*a(n-9) +132*a(n-10) -924*a(n-11) +924*a(n-13) -132*a(n-14) -660*a(n-15) +165*a(n-16) +330*a(n-17) -110*a(n-18) -110*a(n-19) +44*a(n-20) +22*a(n-21) -10*a(n-22) -2*a(n-23) +a(n-24) %e A202096 Some solutions for n=3 %e A202096 ..1..1..1..1..0..1....1..1..1..1..1..1....1..1..1..1..0..0....1..0..1..0..0..0 %e A202096 ..1..1..0..1..0..1....1..1..0..1..0..0....1..0..1..0..0..0....1..1..0..1..0..1 %e A202096 ..1..1..1..1..0..1....0..1..0..1..0..1....1..1..0..0..0..0....1..0..1..0..0..0 %e A202096 ..1..1..0..1..0..1....0..0..0..0..0..0....1..0..0..0..0..0....1..0..0..0..0..0 %e A202096 ..1..1..0..0..0..0....0..1..0..1..0..1....0..1..0..0..0..0....0..0..0..0..0..0 %K A202096 nonn %O A202096 1,1 %A A202096 _R. H. Hardin_ Dec 11 2011