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%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