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 A069443 #13 Aug 23 2024 17:33:37 %S A069443 0,16,2304,157058,7664414,317229344,11974298030,427585649578, %T A069443 14741384488782,496652156206058,16475668543000750,540790107010874580, %U A069443 17620412998483400934,571161367966749399684,18446500586660704024820,594209705207122247276746 %N A069443 Half the number of n X 5 binary arrays with no path of adjacent 1's or adjacent 0's from top row to bottom row. %F A069443 a(n) = 2^(5*n-1) - A069380(n) + A069405(n). - _Sean A. Irvine_, Aug 23 2024 %Y A069443 Cf. 2 X n A000079, n X 1 A000225, 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 A069443 nonn,easy %O A069443 1,2 %A A069443 _R. H. Hardin_, Mar 22 2002 %E A069443 More terms from _Sean A. Irvine_, Aug 23 2024