A223636 Number of nX7 0..1 arrays with rows, antidiagonals and columns unimodal.

29, 841, 12657, 114713, 748950, 3907140, 17224974, 66448428, 229624238, 723456027, 2106393383, 5727793388, 14669871333, 35633091730, 82556882471, 183320486518, 391738700030, 808400385799, 1615892668057, 3136875572418

Offset: 1

Author

R. H. Hardin Mar 24 2013

Keywords

• nonn

Comments

Column 7 of A223637

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..201

Formula

Empirical: a(n) = (503/209563200)*n^14 - (76217/778377600)*n^13 + (88483/23950080)*n^12 - (1160261/17107200)*n^11 + (158917/435456)*n^10 + (88785757/3628800)*n^9 - (2720678887/3048192)*n^8 + (182706654569/10886400)*n^7 - (2182833462133/10886400)*n^6 + (2369225181061/1555200)*n^5 - (18729229340021/2993760)*n^4 + (2512793025389/9979200)*n^3 + (795324348531341/5821200)*n^2 - (56828168983661/90090)*n + 981755694 for n>12