A223584 Number of nX7 0..3 arrays with antidiagonals unimodal

16384, 268435456, 1280000000000, 2924646400000000, 4488092450816000000, 5641956759961600000000, 6561595711835340800000000, 7631135812864501350400000000, 8875010950361415070515200000000

Offset

1,1

Comments

Column 7 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,7))^(max(n,7)-min(n,7)+1) * product{ U(i)^2 , i=1..(min(n,7)-1) }

a(n) = 1163*a(n-1) for n>6

Example

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

Crossrefs

Sequence in context: A017443 A017575 A223806 * A185566 A160868 A351313

Adjacent sequences: A223581 A223582 A223583 * A223585 A223586 A223587

Keyword

nonn

Author

R. H. Hardin Mar 22 2013

Status

approved