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 A208116 #7 Jul 22 2025 21:10:32 %S A208116 25,625,3025,14641,43681,130321,303601,707281,1413721,2825761,5085025, %T A208116 9150625,15249025,25411681,39929761,62742241,94109401,141158161, %U A208116 203889841,294499921,412293025,577200625,787083025,1073283121,1431033241 %N A208116 Number of nX6 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 0 1 1 vertically. %C A208116 Column 6 of A208118 %H A208116 R. H. Hardin, <a href="/A208116/b208116.txt">Table of n, a(n) for n = 1..210</a> %F A208116 Empirical: a(n) = 2*a(n-1) +6*a(n-2) -14*a(n-3) -14*a(n-4) +42*a(n-5) +14*a(n-6) -70*a(n-7) +70*a(n-9) -14*a(n-10) -42*a(n-11) +14*a(n-12) +14*a(n-13) -6*a(n-14) -2*a(n-15) +a(n-16) %e A208116 Some solutions for n=4 %e A208116 ..1..0..0..1..1..1....1..0..1..1..0..0....0..1..1..1..0..1....0..0..1..1..1..0 %e A208116 ..0..0..1..1..1..0....0..0..1..1..0..1....1..0..1..1..1..0....1..1..1..0..1..1 %e A208116 ..1..0..0..1..1..1....0..0..1..1..0..0....0..1..1..0..0..1....0..0..1..1..0..0 %e A208116 ..0..0..1..1..0..0....0..0..1..1..0..0....1..0..1..1..0..0....1..1..0..0..1..1 %K A208116 nonn %O A208116 1,1 %A A208116 _R. H. Hardin_ Feb 23 2012