A223861 Number of nX5 0..3 arrays with rows and antidiagonals unimodal and columns nondecreasing.

296, 14751, 273959, 3017129, 23738426, 145947740, 740441932, 3217594840, 12305144319, 42270004211, 132509660564, 383868226325, 1038081470947, 2642374422155, 6374651949942, 14659617536977, 32293516183091

Offset: 1

Author

R. H. Hardin Mar 28 2013

Keywords

• nonn

Comments

Column 5 of A223864

Examples

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

Links

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

Formula

Empirical: a(n) = (769/444787200)*n^15 + (769/14826240)*n^14 + (1364177/1556755200)*n^13 + (4745443/479001600)*n^12 + (19610293/239500800)*n^11 + (21660577/43545600)*n^10 + (51383569/21772800)*n^9 + (4604039/537600)*n^8 + (65760287/2721600)*n^7 + (2366026111/43545600)*n^6 + (21481491623/239500800)*n^5 + (11196959227/119750400)*n^4 - (1120821577/51891840)*n^3 - (1312521589/10810800)*n^2 + (8123611/51480)*n - 113 for n>2