A224189 Number of nX7 0..2 arrays with rows unimodal and columns nondecreasing.

239, 9503, 165212, 1727738, 12741432, 72710554, 340780382, 1366188661, 4823267213, 15322738603, 44529268480, 119909493132, 302279622352, 719306742780, 1626780581324, 3516536949577, 7300336446323, 14614022023815

Offset: 1

Author

R. H. Hardin Apr 01 2013

Keywords

• nonn

Comments

Column 7 of A224190

Examples

			Some solutions for n=3
..0..0..0..0..1..0..0....0..0..1..2..0..0..0....0..0..1..1..2..0..0
..0..1..1..2..1..1..0....0..0..1..2..1..0..0....0..2..2..2..2..1..1
..0..2..2..2..2..1..0....0..0..1..2..1..1..1....2..2..2..2..2..2..1
		

Links

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

Formula

Empirical: a(n) = (118519/21794572800)*n^14 + (93527/444787200)*n^13 + (6343/1710720)*n^12 + (9456619/239500800)*n^11 + (1028647/3628800)*n^10 + (10525213/7257600)*n^9 + (5190079/952560)*n^8 + (47462621/3110400)*n^7 + (99470417/3110400)*n^6 + (542507339/10886400)*n^5 + (226284461/3991680)*n^4 + (453542611/9979200)*n^3 + (60780847/2522520)*n^2 + (96119/12870)*n + 1