A267730 - OEIS

%I #4 Jan 20 2016 07:03:41

%S 8,64,512,3375,21952,132651,778688,4410944,24389000,131872229,

%T 700227072,3659383421,18863581528,96071912000,484106454208,

%U 2416353439059,11958715956032,58732317850311,286451826688000,1388285542167616

%N Number of nX3 0..1 arrays with every repeated value in every row and column greater than or equal to the previous repeated value.

%C Column 3 of A267735.

%H R. H. Hardin, <a href="/A267730/b267730.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 12*a(n-1) -30*a(n-2) -120*a(n-3) +455*a(n-4) +576*a(n-5) -2142*a(n-6) -1980*a(n-7) +3180*a(n-8) +1980*a(n-9) -2142*a(n-10) -576*a(n-11) +455*a(n-12) +120*a(n-13) -30*a(n-14) -12*a(n-15) -a(n-16)

%e Some solutions for n=4

%e ..0..0..1....1..0..1....1..1..1....0..0..0....0..1..0....1..0..1....1..1..1

%e ..0..1..0....1..1..1....1..0..0....0..1..0....0..0..1....0..1..1....0..0..0

%e ..1..1..0....0..0..0....1..0..1....1..0..0....0..0..0....0..0..1....1..1..1

%e ..1..1..0....1..1..1....0..0..0....1..0..1....0..0..1....0..1..0....0..0..1

%Y Cf. A267735.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 20 2016