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 A194777 #6 Oct 27 2019 21:39:55 %S A194777 85013,231445,639753,1784723,5044981,14399939,41587186,121261490, %T A194777 357312638,1062459348,3188769448,9649809740,29439886715,90469050263, %U A194777 279932030931,871510145365 %N A194777 Number of lower triangles of an (n+12) X (n+12) 0..7 array with new values introduced in row major order 0..7 and no element unequal to more than one horizontal or vertical neighbor. %C A194777 Column 7 of A194778. %e A194777 Some solutions for 13 X 13 including a 7: %e A194777 0 0 %e A194777 1 1 1 1 %e A194777 1 1 1 1 1 1 %e A194777 2 2 2 2 2 2 2 2 %e A194777 2 2 2 2 2 2 2 2 2 2 %e A194777 3 3 3 3 3 3 3 3 3 3 3 3 %e A194777 3 3 3 3 3 3 3 3 3 3 3 3 3 3 %e A194777 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 %e A194777 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 %e A194777 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 %e A194777 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 %e A194777 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 %e A194777 5 5 5 5 5 5 5 5 5 5 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 7 %K A194777 nonn %O A194777 1,1 %A A194777 _R. H. Hardin_, Sep 02 2011