A223685 Number of 7Xn 0..1 arrays with rows and antidiagonals unimodal

128, 16384, 537496, 6458585, 43632367, 210660192, 821284360, 2758051780, 8275194605, 22704480123, 57880672236, 138698869116, 315159317570, 683706718357, 1423847390903, 2859216983489, 5556849891974, 10484853235610

Offset

1,1

Comments

Row 7 of A223680

Links

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

Formula

Empirical: a(n) = (503/209563200)*n^14 + (6527/155675520)*n^13 + (68839/23950080)*n^12 + (1220297/59875200)*n^11 + (1890089/2177280)*n^10 + (181499/362880)*n^9 + (1367211271/15240960)*n^8 - (1887455579/5443200)*n^7 + (43827922247/10886400)*n^6 - (12546180643/544320)*n^5 + (1259322375259/11975040)*n^4 - (234159554591/554400)*n^3 + (13743908156557/11642400)*n^2 - (52010645243/24024)*n + 1969115 for n>4

Example

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

Crossrefs

Sequence in context: A189694 A188745 A188997 * A189069 A189194 A188879

Adjacent sequences: A223682 A223683 A223684 * A223686 A223687 A223688

Keyword

nonn

Author

R. H. Hardin Mar 25 2013

Status

approved