OFFSET
1,1
COMMENTS
Table starts
..2....4.....8.....15.......28........51.........92.........164..........290
..4...16....64....225......784......2601.......8464.......26896........84100
..6...36...216...1056.....5004.....22110......94554......391314......1582824
..9...81...729...5081....34173....211555....1262760.....7263481.....40755550
.12..144..1728..14956...122770....912667....6484282....44116906....291598056
.16..256..4096..44742...460598...4245574...37282358...312449872...2540944329
.20..400..8000.102954..1234716..13126812..132388406..1271314080..11831791048
.25..625.15625.238813..3380133..42012357..494152778..5520112546..59723941668
.30..900.27000.472174..7591852.106570618.1413416776.17806098826.217360101006
.36.1296.46656.935890.17155354.272337497.4075463059.57801662876.793861159136
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..200
FORMULA
Empirical for column k:
k=1: a(n) = 2*a(n-1) -2*a(n-3) +a(n-4)
k=2: a(n) = 2*a(n-1) +2*a(n-2) -6*a(n-3) +6*a(n-5) -2*a(n-6) -2*a(n-7) +a(n-8)
k=3: [order 12]
k=4: [order 16] for n>18
k=5: [order 20] for n>22
k=6: [order 24] for n>27
Empirical for row n:
n=1: a(n) = 2*a(n-1) +a(n-2) -2*a(n-3) -a(n-4)
n=2: [order 9]
n=3: [order 12]
n=4: [order 93]
EXAMPLE
Some solutions for n=4 k=4
..1..0..1..0....1..0..0..0....0..1..0..0....1..1..1..0....1..1..0..1
..0..1..0..1....1..1..0..1....0..0..0..0....0..0..0..0....0..0..0..0
..0..0..1..0....0..0..1..1....1..1..1..1....0..1..0..1....1..1..1..1
..1..1..1..1....1..0..0..0....1..0..1..0....1..1..1..1....1..0..0..0
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 20 2016
STATUS
approved