A223573 Number of nX5 0..2 arrays with antidiagonals unimodal.

243, 59049, 7762392, 746600976, 64207683936, 5521860818496, 474880030390656, 40839682613596416, 3512212704769291776, 302050292610159092736, 25976325164473681975296, 2233963964144736649875456

Offset: 1

Author

R. H. Hardin Mar 22 2013

Keywords

• nonn

Comments

Column 5 of A223576

Examples

			Some solutions for n=3
..0..0..1..2..1....0..0..0..1..1....0..0..0..1..2....0..0..2..1..0
..0..2..1..1..1....0..1..2..0..0....0..0..0..2..2....0..2..1..0..0
..0..0..1..0..2....0..2..0..2..1....0..0..1..2..2....0..0..2..1..1
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

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

a(n) = U(min(n,5))^(max(n,5)-min(n,5)+1) * product{ U(i)^2 , i=1..(min(n,5)-1) }

a(n) = 86*a(n-1) for n>4