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A207366 Number of nX6 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 0 1 1 vertically.

%I A207366 #7 Jul 22 2025 20:20:43
%S A207366 18,324,1350,5625,15525,42849,95220,211600,409860,793881,1397088,
%T A207366 2458624,4029760,6604900,10246590,15896169,23603040,35046400,50207520,
%U A207366 71927361,100016433,139074849,188570070,255680100,339259830,450161089,586225710
%N A207366 Number of nX6 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 0 1 1 vertically.
%C A207366 Column 6 of A207368
%H A207366 R. H. Hardin, <a href="/A207366/b207366.txt">Table of n, a(n) for n = 1..210</a>
%F A207366 Empirical: a(n) = 2*a(n-1) +6*a(n-2) -14*a(n-3) -14*a(n-4) +42*a(n-5) +14*a(n-6) -70*a(n-7) +70*a(n-9) -14*a(n-10) -42*a(n-11) +14*a(n-12) +14*a(n-13) -6*a(n-14) -2*a(n-15) +a(n-16)
%e A207366 Some solutions for n=4
%e A207366 ..0..0..1..0..0..1....0..1..0..0..1..0....1..0..1..0..1..0....0..1..0..0..1..0
%e A207366 ..0..1..0..1..0..0....0..0..1..0..0..1....0..1..0..1..0..1....0..0..1..0..1..0
%e A207366 ..0..0..1..0..0..1....0..1..0..0..1..0....0..0..1..0..1..0....0..1..0..0..1..0
%e A207366 ..0..1..0..1..0..0....0..0..1..0..0..1....0..1..0..1..0..1....0..0..1..0..1..0
%K A207366 nonn
%O A207366 1,1
%A A207366 _R. H. Hardin_ Feb 17 2012