A223567 Number of nX6 0..1 arrays with antidiagonals unimodal

64, 4096, 153664, 4174016, 97140736, 2137096192, 47016116224, 1034354556928, 22755800252416, 500627605553152, 11013807322169344, 242303761087725568, 5330682743929962496, 117275020366459174912, 2580050448062101848064

Offset

1,1

Comments

Column 6 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,6)-1) } * (1+(min(n,6)*(min(n,6)+1)/2))^(max(n,6)-min(n,6)+1)

a(n) = 22*a(n-1) for n>5

Example

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

Crossrefs

Sequence in context: A223802 A297379 A283862 * A223580 A267971 A229102

Adjacent sequences: A223564 A223565 A223566 * A223568 A223569 A223570

Keyword

nonn

Author

R. H. Hardin Mar 22 2013

Status

approved