OFFSET
1,1
COMMENTS
Table starts
..2...3.....4........5..........6...........7............8............9
..3...8....17.......35.........64.........109..........176..........272
..4..17....68......244........777........2221.........5853........14488
..5..35...244.....1613.......9066.......46260.......214126.......921674
..6..64...777.....9066......94613......874352......7359682.....57010666
..7.109..2221....46260.....874352....15039319....232886648...3315673203
..8.176..5853...214126....7359682...232886648...6712505927.177152281120
..9.272.14488...921674...57010666..3315673203.177152281120
.10.405.34057..3745690..415293446.44101959522
.11.584.76495.14493362.2875073417
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..112
FORMULA
Empirical for column k:
k=1: a(n) = n + 1
k=2: a(n) = (1/24)*n^4 + (1/12)*n^3 + (11/24)*n^2 + (53/12)*n - 6 for n>2
k=3: [polynomial of degree 13] for n>9
k=4: [polynomial of degree 40] for n>31
k=5: [polynomial of degree 121] for n>98
EXAMPLE
Some solutions for n=4 k=4
..0..0..0..0....0..0..0..3....3..3..0..0....0..0..0..0....0..0..3..3
..0..0..0..3....3..3..0..1....3..2..3..3....0..3..3..0....0..3..3..2
..0..0..3..1....3..2..3..0....0..0..2..1....0..3..2..0....3..1..2..0
..0..0..3..2....0..3..1..3....0..3..3..0....0..0..3..2....3..2..0..1
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Mar 28 2014
STATUS
approved