A223567 - OEIS

%I #6 Mar 22 2013 18:17:57

%S 64,4096,153664,4174016,97140736,2137096192,47016116224,1034354556928,

%T 22755800252416,500627605553152,11013807322169344,242303761087725568,

%U 5330682743929962496,117275020366459174912,2580050448062101848064

%N Number of nX6 0..1 arrays with antidiagonals unimodal

%C Column 6 of A223569

%H R. H. Hardin, <a href="/A223567/b223567.txt">Table of n, a(n) for n = 1..210</a>

%F a(n) = product{ (1+(i*(i+1)/2))^2 , i=1..(min(n,6)-1) } * (1+(min(n,6)*(min(n,6)+1)/2))^(max(n,6)-min(n,6)+1)

%F a(n) = 22*a(n-1) for n>5

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 22 2013