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 A069412 #9 Apr 07 2021 18:59:26 %S A069412 2047,7859215,26020259201,75628309151275 %N A069412 Half the number of n X 12 binary arrays with a path of adjacent 1's and a path of adjacent 0's from top row to bottom row. %Y A069412 Cf. 1 X n A000225, 2 X n A016269, vertical path of 1 A069361-A069395, vertical paths of 0+1 A069396-A069416, vertical path of 1 not 0 A069417-A069428, no vertical paths A069429-A069447, no horizontal or vertical paths A069448-A069452. %K A069412 nonn %O A069412 1,1 %A A069412 _R. H. Hardin_, Mar 22 2002