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A267718 Number of nX7 0..1 arrays with every repeated value in every row and column greater than the previous repeated value.

%I A267718 #4 Jan 19 2016 20:16:29
%S A267718 20,400,1866,7879,20226,54887,116036,255009,481390,932245,1627470,
%T A267718 2893983,4765598,7967260,12535320,20000374,30337594,46665892,68699820,
%U A267718 102616722,147369478,214889742,302259706,431988823,597033836,838908027
%N A267718 Number of nX7 0..1 arrays with every repeated value in every row and column greater than the previous repeated value.
%C A267718 Column 7 of A267719.
%H A267718 R. H. Hardin, <a href="/A267718/b267718.txt">Table of n, a(n) for n = 1..210</a>
%F A267718 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) for n>30
%e A267718 Some solutions for n=5
%e A267718 ..0..0..1..0..1..0..1....0..1..0..1..0..1..1....1..0..1..0..1..0..0
%e A267718 ..1..1..0..1..0..1..0....1..1..0..1..0..1..0....0..1..0..1..0..1..0
%e A267718 ..1..0..1..0..1..0..1....0..0..1..0..1..0..1....1..0..1..0..1..0..1
%e A267718 ..0..0..1..1..0..1..0....0..1..0..1..0..1..0....0..1..0..0..1..1..0
%e A267718 ..1..1..0..1..0..1..0....1..0..1..0..1..0..0....0..1..0..1..0..1..1
%Y A267718 Cf. A267719.
%K A267718 nonn
%O A267718 1,1
%A A267718 _R. H. Hardin_, Jan 19 2016