OFFSET
1,5
COMMENTS
Table starts
.0...0....0.....0.......0........0..........0...........0.............0
.0...3....3.....9......15.......33.........63.........129...........255
.0...3....3....21......27......177........231........1509..........1971
.0...9...21...123.....531.....2547......11745.......54957........255753
.0..15...27...531....1635....28161......90393.....1539207.......4956927
.0..33..177..2547...28161...337977....3951657....46564959.....547445439
.0..63..231.11745...90393..3951657...31908483..1374288243...11150938215
.0.129.1509.54957.1539207.46564959.1374288243.40860127671.1212230763441
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..337
FORMULA
Empirical for column k:
k=1: a(n) = a(n-1)
k=2: a(n) = a(n-1) +2*a(n-2)
k=3: a(n) = 9*a(n-2) -4*a(n-4)
k=4: a(n) = 3*a(n-1) +8*a(n-2) -a(n-3) -a(n-4) for n>5
k=5: a(n) = 59*a(n-2) -230*a(n-4) -2*a(n-6) +32*a(n-8) for n>11
k=6: [order 23] for n>24
k=7: [order 46] for n>47
EXAMPLE
Some solutions for n=5 k=4
..2..x..2..x....0..x..0..x....1..x..0..x....0..x..0..x....1..x..0..x
..x..0..x..0....x..2..x..2....x..1..x..2....x..2..x..2....x..1..x..2
..0..x..2..x....0..x..1..x....1..x..1..x....0..x..0..x....1..x..0..x
..x..2..x..2....x..0..x..1....x..2..x..0....x..1..x..0....x..1..x..2
..0..x..0..x....2..x..2..x....0..x..2..x....1..x..2..x....1..x..1..x
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Oct 27 2013
STATUS
approved