A223984 Number of nX5 0..3 arrays with rows unimodal and columns nondecreasing.

296, 14751, 308470, 3770722, 31831914, 204647416, 1067023886, 4710529013, 18159308422, 62548820489, 195900273940, 565579629660, 1521723229244, 3849481958400, 9222552207476, 21052791564073, 46024420537228

Offset: 1

Author

R. H. Hardin Mar 30 2013

Keywords

• nonn

Comments

Column 5 of A223987

Examples

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

Links

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

Formula

Empirical: a(n) = (769/444787200)*n^15 + (781507/10897286400)*n^14 + (1419127/1037836800)*n^13 + (108727/6842880)*n^12 + (30122453/239500800)*n^11 + (15632539/21772800)*n^10 + (66446071/21772800)*n^9 + (299560531/30481920)*n^8 + (4868287/201600)*n^7 + (5624957/124416)*n^6 + (7644136631/119750400)*n^5 + (797122847/11975040)*n^4 + (85565105/1729728)*n^3 + (933168347/37837800)*n^2 + (73789/10010)*n + 1