A223568 Number of nX7 0..1 arrays with antidiagonals unimodal

128, 16384, 1075648, 45914176, 1554251776, 47016116224, 1363467370496, 39540553744384, 1146676058587136, 33253605699026944, 964354565271781376, 27966282392881659904, 811022189393568137216, 23519643492413475979264

Offset

1,1

Comments

Column 7 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,7)-1) } * (1+(min(n,7)*(min(n,7)+1)/2))^(max(n,7)-min(n,7)+1)

a(n) = 29*a(n-1) for n>6

Example

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

Crossrefs

Sequence in context: A189109 A297380 A283863 * A144321 A051251 A264346

Adjacent sequences: A223565 A223566 A223567 * A223569 A223570 A223571

Keyword

nonn

Author

R. H. Hardin Mar 22 2013

Status

approved