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A208700 Number of 5Xn 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 1 0 and 1 0 1 vertically.

%I A208700 #7 Jul 22 2025 21:28:41
%S A208700 16,256,1152,5371,30160,177488,1103081,6990922,45002090,291703403,
%T A208700 1899852502,12403724792,81108030137,530824116234,3475943478340,
%U A208700 22768311915069,149167204090078,977385748598970,6404564660109105
%N A208700 Number of 5Xn 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 1 0 and 1 0 1 vertically.
%C A208700 Row 5 of A208698
%H A208700 R. H. Hardin, <a href="/A208700/b208700.txt">Table of n, a(n) for n = 1..210</a>
%F A208700 Empirical: a(n) = 13*a(n-1) -16*a(n-2) -398*a(n-3) +1259*a(n-4) +4798*a(n-5) -21814*a(n-6) -28132*a(n-7) +191012*a(n-8) +69671*a(n-9) -998374*a(n-10) +79894*a(n-11) +3327301*a(n-12) -1054555*a(n-13) -7282308*a(n-14) +3255508*a(n-15) +10584275*a(n-16) -5481590*a(n-17) -10216108*a(n-18) +5674270*a(n-19) +6492348*a(n-20) -3730629*a(n-21) -2663480*a(n-22) +1556866*a(n-23) +678318*a(n-24) -401116*a(n-25) -99468*a(n-26) +59784*a(n-27) +7248*a(n-28) -4512*a(n-29) -192*a(n-30) +128*a(n-31) for n>32
%e A208700 Some solutions for n=4
%e A208700 ..0..1..1..0....1..1..0..1....0..0..0..0....1..1..1..1....1..0..1..0
%e A208700 ..1..0..1..0....1..1..0..1....1..1..0..1....1..1..0..1....0..1..0..1
%e A208700 ..1..0..1..1....0..1..1..1....1..1..1..1....0..0..0..0....0..1..0..1
%e A208700 ..0..1..0..1....0..1..1..1....0..1..1..1....0..0..0..0....1..1..0..1
%e A208700 ..0..1..0..1....1..1..0..1....0..1..0..1....1..0..1..1....1..0..1..1
%K A208700 nonn
%O A208700 1,1
%A A208700 _R. H. Hardin_ Mar 01 2012