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

1,1

Comments

Column 5 of A223864

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

Example

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

Crossrefs

Sequence in context: A206339 A107924 A224170 * A223984 A224061 A224047

Adjacent sequences: A223858 A223859 A223860 * A223862 A223863 A223864

Keyword

nonn

Author

R. H. Hardin Mar 28 2013

Status

approved