A223575 - OEIS

%I #6 Mar 22 2013 18:14:59

%S 2187,4782969,3756997728,1579807665216,474880030390656,

%T 120950839368336384,28907250609032395776,6908832895558742590464,

%U 1651211062038539479120896,394639443827210935509894144

%N Number of nX7 0..2 arrays with antidiagonals unimodal

%C Column 7 of A223576

%H R. H. Hardin, <a href="/A223575/b223575.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,7))^(max(n,7)-min(n,7)+1) * product{ U(i)^2 , i=1..(min(n,7)-1) }

%F a(n) = 239*a(n-1) for n>6

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 22 2013