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Number of n X 4 binary arrays with a path of adjacent 1's and no path of adjacent 0's from top row to bottom row.
0

%I #13 Aug 23 2024 08:39:50

%S 1,65,1231,17339,217253,2575297,29682643,337104939,3798244149,

%T 42611591165,476921965419,5330934738199,59545502975241,

%U 664849480893793,7421696282496891,82838232515999423,924548372982432205,10318403957821437753,115156011527942405255

%N Number of n X 4 binary arrays with a path of adjacent 1's and no path of adjacent 0's from top row to bottom row.

%F a(n) = A069379(n) - 2 * A069404(n). - _Sean A. Irvine_, Aug 23 2024

%Y Cf. 2 X n A001047, n X 2 A034182, 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 nonn

%O 1,2

%A _R. H. Hardin_, Mar 22 2002

%E More terms from _Sean A. Irvine_, Aug 23 2024