OFFSET
1,1
COMMENTS
Table starts
...2....3......5.......8........13.........21...........34............55
...4....7.....19......40........97........217..........508..........1159
...8...17.....77.....216.......809.......2529.........8832.........28793
..16...41....313....1152......6737......28977.......152048........699833
..32...99...1277....6160.....56549.....333517......2644336......17124415
..64..239...5215...32928....475809....3837761.....46125216.....419022831
.128..577..21305..176032...4008817...44171841....806190208...10258304689
.256.1393..87049..941056..33795201..508425617..14105294112..251170142257
.512.3363.355685.5030848.284980061.5852202757.246929287360.6150224353031
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..1057
FORMULA
Empirical for column k:
k=1: a(n) = 2*a(n-1)
k=2: a(n) = 2*a(n-1) +a(n-2)
k=3: a(n) = 5*a(n-1) -3*a(n-2) -3*a(n-3)
k=4: a(n) = 6*a(n-1) -2*a(n-2) -8*a(n-3)
k=5: a(n) = 12*a(n-1) -27*a(n-2) -32*a(n-3) +49*a(n-4) +20*a(n-5) -5*a(n-6)
k=6: [order 7]
k=7: [order 12]
Empirical for row n:
n=1: a(n) = a(n-1) +a(n-2)
n=2: a(n) = a(n-1) +3*a(n-2)
n=3: a(n) = 2*a(n-1) +6*a(n-2) -5*a(n-3)
n=4: a(n) = 2*a(n-1) +16*a(n-2) -7*a(n-3) -18*a(n-4)
n=5: [order 7]
n=6: [order 10]
n=7: [order 16]
EXAMPLE
Some solutions for n=4 k=4
..0..0..0..1....1..0..0..0....0..0..1..0....0..0..1..0....1..0..0..0
..0..1..0..1....1..0..0..0....0..0..1..0....0..0..1..0....1..0..0..0
..0..0..0..0....0..0..0..1....1..0..1..0....0..0..1..0....1..0..0..0
..0..0..0..1....0..1..0..1....1..0..0..0....0..0..1..0....0..0..0..0
CROSSREFS
AUTHOR
R. H. Hardin Aug 30 2013
STATUS
approved