login
Number of (n+2)X6 binary arrays avoiding patterns 001 and 010 in rows, columns and nw-to-se diagonals.
1

%I #8 Jul 19 2023 10:17:00

%S 2201,11792,81308,505725,2990844,18123980,109801091,658491602,

%T 3949514088,23718693425,142274092183,852958321134,5114638449863,

%U 30667479884691,183858524034821,1102273893759265,6608442823917871,39618703368761248

%N Number of (n+2)X6 binary arrays avoiding patterns 001 and 010 in rows, columns and nw-to-se diagonals.

%H R. H. Hardin, <a href="/A202894/b202894.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

%e ..1..0..1..1..0..1....0..1..1..1..1..1....0..1..1..1..0..0....1..1..1..1..1..1

%e ..0..1..1..1..0..0....1..1..1..1..1..1....1..1..1..1..0..1....1..0..1..1..0..0

%e ..1..1..1..1..0..0....1..0..1..1..1..0....1..1..1..1..0..1....1..1..1..1..1..0

%e ..1..0..1..1..0..0....1..1..1..0..1..1....1..0..1..1..0..0....1..1..1..1..1..0

%e ..1..1..0..0..0..0....1..1..1..1..1..1....1..1..1..0..0..0....0..0..0..0..0..0

%Y Column 4 of A202898.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 25 2011