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A208146 Number of 7Xn 0..1 arrays avoiding 0 0 1 and 0 1 1 horizontally and 0 0 1 and 1 0 1 vertically.

%I A208146 #7 Jul 22 2025 21:12:04
%S A208146 14,196,1176,7056,28224,112896,352800,1102500,2910600,7683984,
%T A208146 17929296,41835024,88792704,188457984,371026656,730458729,1352701350,
%U A208146 2505002500,4408804400,7759495744,13082125056,22055814144,35840697984,58241134224
%N A208146 Number of 7Xn 0..1 arrays avoiding 0 0 1 and 0 1 1 horizontally and 0 0 1 and 1 0 1 vertically.
%C A208146 Row 7 of A208142
%H A208146 R. H. Hardin, <a href="/A208146/b208146.txt">Table of n, a(n) for n = 1..210</a>
%F A208146 Empirical: a(n) = 2*a(n-1) +12*a(n-2) -26*a(n-3) -65*a(n-4) +156*a(n-5) +208*a(n-6) -572*a(n-7) -429*a(n-8) +1430*a(n-9) +572*a(n-10) -2574*a(n-11) -429*a(n-12) +3432*a(n-13) -3432*a(n-15) +429*a(n-16) +2574*a(n-17) -572*a(n-18) -1430*a(n-19) +429*a(n-20) +572*a(n-21) -208*a(n-22) -156*a(n-23) +65*a(n-24) +26*a(n-25) -12*a(n-26) -2*a(n-27) +a(n-28)
%e A208146 Some solutions for n=4
%e A208146 ..0..1..0..0....0..1..0..0....1..1..0..0....0..0..0..0....1..0..0..0
%e A208146 ..0..1..0..1....1..0..1..0....1..0..1..0....1..0..1..0....0..1..0..0
%e A208146 ..0..1..0..1....1..0..0..0....1..0..0..0....0..0..0..0....0..1..0..0
%e A208146 ..0..1..0..0....1..0..0..0....1..0..0..0....0..0..0..0....0..0..0..0
%e A208146 ..0..0..0..0....0..0..0..0....1..0..0..0....0..0..0..0....0..0..0..0
%e A208146 ..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
%e A208146 ..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
%K A208146 nonn
%O A208146 1,1
%A A208146 _R. H. Hardin_ Feb 23 2012