A223619 Number of nX7 0..1 arrays with rows and columns unimodal

29, 841, 14547, 160883, 1271969, 7795951, 39162020, 167679972, 629671260, 2118764468, 6495046664, 18377663488, 48503155274, 120433134332, 283334050243, 635338765283, 1364719186775, 2820129263963, 5627010952649, 10875524219289

Offset

1,1

Comments

Column 7 of A223620

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 + (17/31185)*n^12 + (37901/8553600)*n^11 + (76799/2721600)*n^10 + (46471/362880)*n^9 + (3497567/7620480)*n^8 + (936493/777600)*n^7 + (467419/181440)*n^6 + (320807/77760)*n^5 + (69073271/11975040)*n^4 + (29326111/4989600)*n^3 + (60167903/11642400)*n^2 + (191717/72072)*n + 1

Example

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

Crossrefs

Sequence in context: A223643 A223668 A223636 * A223679 A171303 A262337

Adjacent sequences: A223616 A223617 A223618 * A223620 A223621 A223622

Keyword

nonn

Author

R. H. Hardin Mar 24 2013

Status

approved