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A207714 Number of nX5 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 0 0 vertically.

%I A207714 #7 Jul 22 2025 20:42:42
%S A207714 16,256,1644,12015,97580,820820,7070805,61530000,538903800,4735474525,
%T A207714 41696434728,367562042568,3242398676595,28614207114896,
%U A207714 252584682127428,2229968979966475,19689354946616388,173855783327986060
%N A207714 Number of nX5 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 0 0 vertically.
%C A207714 Column 5 of A207717
%H A207714 R. H. Hardin, <a href="/A207714/b207714.txt">Table of n, a(n) for n = 1..210</a>
%F A207714 Empirical: a(n) = 16*a(n-1) -42*a(n-2) -401*a(n-3) +1780*a(n-4) +3228*a(n-5) -21310*a(n-6) -7724*a(n-7) +117040*a(n-8) -14574*a(n-9) -345676*a(n-10) +104844*a(n-11) +593560*a(n-12) -209036*a(n-13) -617332*a(n-14) +210704*a(n-15) +393548*a(n-16) -121244*a(n-17) -151602*a(n-18) +42220*a(n-19) +33904*a(n-20) -9106*a(n-21) -4084*a(n-22) +1140*a(n-23) +217*a(n-24) -68*a(n-25) -2*a(n-26) +a(n-27) for n>28
%e A207714 Some solutions for n=4
%e A207714 ..1..1..0..1..0....1..0..1..1..1....1..0..1..0..1....1..1..0..1..0
%e A207714 ..1..1..0..1..1....1..1..0..1..0....1..1..0..1..0....0..1..0..1..0
%e A207714 ..0..1..0..1..1....1..0..1..1..1....0..1..1..1..1....1..1..0..1..0
%e A207714 ..1..1..0..1..1....0..1..0..1..1....1..1..0..1..1....0..1..0..1..0
%K A207714 nonn
%O A207714 1,1
%A A207714 _R. H. Hardin_ Feb 19 2012