A223582 Number of nX5 0..3 arrays with antidiagonals unimodal

1024, 1048576, 512000000, 173056000000, 51224576000000, 15162474496000000, 4488092450816000000, 1328475365441536000000, 393228708170694656000000, 116395697618525618176000000, 34453126495083582980096000000

Offset

1,1

Comments

Column 5 of A223585

Links

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

Formula

Let U(z) = (z^6+15*z^5+115*z^4+405*z^3+964*z^2+660*z+720)/720

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) = 296*a(n-1) for n>4

Example

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

Crossrefs

Sequence in context: A016750 A223879 A223804 * A031155 A140300 A223355

Adjacent sequences: A223579 A223580 A223581 * A223583 A223584 A223585

Keyword

nonn

Author

R. H. Hardin Mar 22 2013

Status

approved