login
Number of 3Xn 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.
1

%I #4 Jan 20 2016 12:31:59

%S 6,36,216,1056,5004,22110,94554,391314,1582824,6278400,24520080,

%T 94523100,360449622,1361930880,5105718624,19011717024,70378031196,

%U 259193957658,950281765146,3470120581542,12626754295920,45799000309176

%N Number of 3Xn 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.

%C Row 3 of A267788.

%H R. H. Hardin, <a href="/A267789/b267789.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) -12*a(n-2) -40*a(n-3) +80*a(n-4) +100*a(n-5) -134*a(n-6) -160*a(n-7) +8*a(n-8) +48*a(n-9) +8*a(n-10) -4*a(n-11) -a(n-12)

%e Some solutions for n=4

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

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

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

%Y Cf. A267788.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 20 2016