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

Author

R. H. Hardin Mar 24 2013

Keywords

• nonn

Comments

Column 7 of A223620

Examples

			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
		

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