OFFSET
1,1
COMMENTS
Table starts
....9....21....46....99....209....436.....901....1849....3774.....7671....15541
...18....46...106...238....518...1106....2326....4838....9978....20446....41686
...36....96...230...534...1194...2604....5568...11732...24442....50482...103566
...72...196...482..1152...2640...5882...12796...27344...57610...120060...248072
..144...396...990..2426...5688..12950...28692...62274..132890...279864...583196
..288...796..2010..5028..12036..27986...63184..139436..301786...643164..1353544
..576..1596..4054.10306..25126..59590..137082..307762..676266..1460260..3107536
.1152..3196..8146.20960..51904.125334..293588..670608.1496970..3278004..7061504
.2304..6396.16334.42394.106344.260916..621664.1444162.3275574..7278104.15884220
.4608.12796.32714.85420.216500.538538.1303276.3076788.7089558.15987988.35370676
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..544
FORMULA
Empirical for column k:
k=1: a(n) = 2*a(n-1); a(n) = 9*2^(n-1)
k=2: a(n) = 3*a(n-1) -2*a(n-2); a(n) = 25*2^(n-1) -4
k=3: a(n) = 4*a(n-1) -5*a(n-2) +2*a(n-3)
k=4: a(n) = 6*a(n-1) -14*a(n-2) +16*a(n-3) -9*a(n-4) +2*a(n-5)
k=5: a(n) = 8*a(n-1) -27*a(n-2) +50*a(n-3) -55*a(n-4) +36*a(n-5) -13*a(n-6) +2*a(n-7)
k=6: [order 9]
k=7: [order 11]
Empirical for row n:
n=1: a(n) = 3*a(n-1) -a(n-2) -2*a(n-3)
n=2: a(n) = 4*a(n-1) -4*a(n-2) -a(n-3) +2*a(n-4)
n=3: a(n) = 5*a(n-1) -8*a(n-2) +3*a(n-3) +3*a(n-4) -2*a(n-5)
n=4: a(n) = 5*a(n-1) -7*a(n-2) -2*a(n-3) +11*a(n-4) -5*a(n-5) -3*a(n-6) +2*a(n-7)
n=5: [order 8]
n=6: [order 9]
n=7: [order 10]
EXAMPLE
Some solutions for n=4 k=4
..0..0..1..0..0....0..0..0..1..0....0..0..0..0..0....1..0..1..1..0
..0..0..1..0..0....0..0..0..1..1....0..0..0..0..0....1..0..1..1..0
..0..0..1..0..0....0..0..0..1..1....0..0..0..0..1....1..0..1..1..1
..0..0..1..0..1....0..0..0..1..1....1..1..1..1..0....1..0..1..1..1
..0..0..1..0..1....0..0..0..1..1....1..1..1..1..0....1..0..1..1..1
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 27 2014
STATUS
approved