A223574 - OEIS

%I #6 Mar 22 2013 18:15:19

%S 729,531441,170772624,34343644896,5521860818496,817235401137408,

%T 120950839368336384,17900724226513784832,2649307185524040155136,

%U 392097463457557942960128,58030424591718575558098944

%N Number of nX6 0..2 arrays with antidiagonals unimodal

%C Column 6 of A223576

%H R. H. Hardin, <a href="/A223574/b223574.txt">Table of n, a(n) for n = 1..210</a>

%F Let U(z) = (z^4+6*z^3+23*z^2+18*z+24)/24

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

%F a(n) = 148*a(n-1) for n>5

%e Some solutions for n=3

%e ..0..0..0..2..0..2....0..0..0..0..2..0....0..0..0..0..2..2....0..0..0..0..0..0

%e ..0..0..0..0..2..2....0..0..0..2..2..2....0..0..1..1..2..2....0..0..1..0..1..1

%e ..0..0..1..2..1..2....0..0..2..2..1..2....0..0..1..1..1..2....0..0..1..1..0..2

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 22 2013