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A267783 Number of n X 3 0..1 arrays with every repeated value in every row greater than or equal to, and in every column greater than, the previous repeated value.

%I A267783 #11 Jan 11 2019 11:48:03
%S A267783 8,64,216,729,1728,4096,8000,15625,27000,46656,74088,117649,175616,
%T A267783 262144,373248,531441,729000,1000000,1331000,1771561,2299968,2985984,
%U A267783 3796416,4826809,6028568,7529536,9261000,11390625,13824000,16777216
%N A267783 Number of n X 3 0..1 arrays with every repeated value in every row greater than or equal to, and in every column greater than, the previous repeated value.
%H A267783 R. H. Hardin, <a href="/A267783/b267783.txt">Table of n, a(n) for n = 1..210</a>
%F A267783 Empirical: a(n) = 2*a(n-1) + 4*a(n-2) - 10*a(n-3) - 5*a(n-4) + 20*a(n-5) - 20*a(n-7) + 5*a(n-8) + 10*a(n-9) - 4*a(n-10) - 2*a(n-11) + a(n-12).
%F A267783 Empirical g.f.: x*(8 + 48*x + 56*x^2 + 121*x^3 + 86*x^4 + 44*x^5 - 14*x^6 + 6*x^7 + 10*x^8 - 4*x^9 - 2*x^10 + x^11) / ((1 - x)^7*(1 + x)^5). - _Colin Barker_, Jan 11 2019
%e A267783 Some solutions for n=4:
%e A267783 ..0..0..1....0..0..0....0..1..1....0..0..0....0..0..0....0..0..0....1..1..0
%e A267783 ..1..0..0....1..0..1....0..1..0....1..1..0....1..1..0....1..0..1....1..0..1
%e A267783 ..1..1..1....1..1..1....1..0..1....0..1..1....1..1..1....1..1..0....0..1..1
%e A267783 ..0..0..0....0..0..0....0..1..0....0..0..0....0..0..1....0..0..1....1..1..0
%Y A267783 Column 3 of A267788.
%K A267783 nonn
%O A267783 1,1
%A A267783 _R. H. Hardin_, Jan 20 2016