OFFSET
1,1
COMMENTS
Table starts
....2.....3.......4........5.........6.........7..........8...........9
....4....11......20.......33........48........67.........88.........113
....8....27......52.......89.......140.......207........288.........389
...16....79.....240......581......1132......1991.......3156........4841
...32...255.....984.....2909......6732.....14003......25964.......45303
...64...843....4412....17885.....51884....130335.....281552......564985
..128..2763...20252...107387....381812...1154141....2908232.....6704631
..256..8903...91808...636197...2783500..10172515...30143732....80256473
..512.28215..406748..3664311..19762916..86975297..301550620...925066871
.1024.88195.1759740.20397261.135821156.715749943.2901853512.10244309701
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..181
FORMULA
Empirical for column k:
k=1: a(n) = 2*a(n-1)
k=2: a(n) = 9*a(n-1) -31*a(n-2) +51*a(n-3) -40*a(n-4) +12*a(n-5) for n>6
k=3: [order 15] for n>18
Empirical for row n:
n=1: a(n) = n + 1
n=2: a(n) = 2*a(n-1) -2*a(n-3) +a(n-4); also a quadratic polynomial plus a constant quasipolynomial with period 2
EXAMPLE
Some solutions for n=6 k=4
..4....0....0....1....3....3....4....3....3....1....2....0....4....1....3....3
..2....2....0....1....1....3....2....3....2....4....3....3....4....3....2....4
..4....2....2....4....2....3....0....3....4....4....0....2....4....2....2....4
..2....1....4....4....1....3....4....1....2....1....2....4....2....3....1....2
..2....2....4....2....1....1....4....0....1....2....4....3....1....1....1....4
..2....3....2....1....1....3....2....1....2....1....3....4....2....1....0....0
..4....2....0....3....3....3....0....3....3....1....0....2....4....1....1....3
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 16 2014
STATUS
approved