OFFSET
1,3
COMMENTS
Table starts
....0.......0.........0...........0............0..............0...............0
....2.......8........20..........40...........70............112.............168
...10......72.......294.........896.........2268...........5040...........10164
...34.....450......3114.......15116........58036.........188034..........535106
...98....2420.....29120......232432......1402082........6872424........28658242
..258...12010....256020.....3441072.....33505396......255757328......1610555756
..642...56754...2173554....50108414....804566180.....9790184488.....95420380090
.1538..259628..18060096...724727082..19525545192...386105784866...5945425725202
.3586.1160936.147976270.10461499634.479803630966.15669594394610.387907415514308
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..146
FORMULA
Empirical for column k:
k=1: a(n) = 5*a(n-1) -8*a(n-2) +4*a(n-3)
Empirical for row n:
n=2: a(n) = (1/3)*n^3 + n^2 + (2/3)*n
n=3: [polynomial of degree 6]
n=4: [polynomial of degree 10]
n=5: [polynomial of degree 15]
n=6: [polynomial of degree 21]
EXAMPLE
Some solutions for n=4 k=4
.....0........0........0........1........0........1........0........0
....0.0......0.3......1.0......2.3......0.0......1.1......0.2......0.0
...1.0.0....3.3.3....3.4.4....3.4.4....0.1.3....0.1.2....0.2.2....1.1.0
..1.1.1.1..4.4.3.4..4.4.4.4..3.3.4.4..2.4.3.3..2.3.4.4..0.0.2.3..4.4.4.4
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Mar 29 2016
STATUS
approved