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 A303312 #4 Apr 21 2018 12:46:58 %S A303312 13,13,67,128,410,1221,3453,10223,30247,88071,257997,758575,2222443, %T A303312 6510901,19099863,56003627,164158635,481322825,1411283805,4137560893, %U A303312 12130815503,35567022201,104278542849,305732562651,896380484697 %N A303312 Number of nX6 0..1 arrays with every element equal to 0, 1, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. %C A303312 Column 6 of A303314. %H A303312 R. H. Hardin, <a href="/A303312/b303312.txt">Table of n, a(n) for n = 1..210</a> %F A303312 Empirical: a(n) = a(n-1) +2*a(n-2) +10*a(n-3) +6*a(n-4) -5*a(n-5) -15*a(n-6) -8*a(n-7) -4*a(n-8) for n>11 %e A303312 Some solutions for n=5 %e A303312 ..0..1..0..1..1..1. .0..1..0..1..0..1. .0..1..0..1..0..1. .0..1..1..1..0..1 %e A303312 ..0..1..0..1..0..1. .0..0..1..1..0..1. .0..1..0..1..0..1. .0..1..0..1..0..1 %e A303312 ..0..1..0..1..0..1. .0..1..0..1..0..1. .0..0..0..1..0..1. .0..1..0..0..0..1 %e A303312 ..0..0..1..1..0..1. .0..1..0..1..0..1. .0..1..0..1..1..1. .0..1..0..1..1..1 %e A303312 ..0..1..0..1..0..1. .0..1..0..1..1..1. .0..1..0..1..0..1. .0..1..0..1..0..1 %Y A303312 Cf. A303314. %K A303312 nonn %O A303312 1,1 %A A303312 _R. H. Hardin_, Apr 21 2018