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 A069414 #9 Apr 07 2021 19:00:36 %S A069414 8191,129442951,1820140085705,22606389934281147 %N A069414 Half the number of n X 14 binary arrays with a path of adjacent 1's and a path of adjacent 0's from top row to bottom row. %Y A069414 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 A069414 nonn %O A069414 1,1 %A A069414 _R. H. Hardin_, Mar 22 2002