A223563 Number of n X n 0..1 arrays with antidiagonals unimodal

2, 16, 448, 34496, 6071296, 2137096192, 1363467370496, 1463000488542208, 2490026831498838016, 6414309117941006729216, 24066487810514657248018432, 127383919981054080813761560576, 925826330422301059354419022266368

Offset

1,1

Comments

Diagonal of A223569

Links

R. H. Hardin, Table of n, a(n) for n = 1..99

Formula

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

Example

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

Crossrefs

Sequence in context: A012678 A012146 A113109 * A140309 A201383 A354279

Adjacent sequences: A223560 A223561 A223562 * A223564 A223565 A223566

Keyword

nonn

Author

R. H. Hardin Mar 22 2013

Status

approved