%I #12 Oct 03 2025 04:45:10

%S 7,49,211,883,3354,12529,45705,165506,595370,2135861,7647306,27355170,

%T 97794320,349507418,1248880596,4462146126,15941995134,56954562018,

%U 203473087470,726911218475,2596889588906,9277358418622,33143203071246

%N Number of nX3 binary arrays without the pattern 1 1 0 diagonally, vertically, antidiagonally or horizontally.

%C Column 3 of A188607

%H R. H. Hardin, <a href="/A188601/b188601.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 6*a(n-1) - 3*a(n-2) - 34*a(n-3) + 34*a(n-4) + 82*a(n-5) - 71*a(n-6) - 130*a(n-7) + 42*a(n-8) + 165*a(n-9) + 24*a(n-10) - 146*a(n-11) - 44*a(n-12) + 72*a(n-13) + 25*a(n-14) - 15*a(n-15) - 6*a(n-16)

%e Some solutions for 4X3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 05 2011