A223566 Number of nX5 0..1 arrays with antidiagonals unimodal

32, 1024, 21952, 379456, 6071296, 97140736, 1554251776, 24868028416, 397888454656, 6366215274496, 101859444391936, 1629751110270976, 26076017764335616, 417216284229369856, 6675460547669917696

Offset

1,1

Comments

Column 5 of A223569

Links

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

Formula

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

a(n) = 16*a(n-1) for n>4

Example

Some solutions for n=4
..0..1..0..0..1....0..1..1..0..1....0..0..0..0..0....0..1..1..0..0
..0..1..0..0..1....0..1..0..1..0....0..1..0..1..1....0..1..1..1..0
..0..1..0..1..1....0..0..0..0..0....1..0..1..0..0....1..1..1..1..0
..0..0..1..0..1....0..0..0..1..1....1..1..0..0..1....0..1..1..0..1

Crossrefs

Sequence in context: A181216 A297378 A283861 * A227593 A171306 A009976

Adjacent sequences: A223563 A223564 A223565 * A223567 A223568 A223569

Keyword

nonn

Author

R. H. Hardin Mar 22 2013

Status

approved