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

1,1

Comments

Column 5 of A223987

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

Example

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

Crossrefs

Sequence in context: A107924 A224170 A223861 * A224061 A224047 A224278

Adjacent sequences: A223981 A223982 A223983 * A223985 A223986 A223987

Keyword

nonn

Author

R. H. Hardin Mar 30 2013

Status

approved