OFFSET
1,1
COMMENTS
Table starts
.....8.....20.......56........164..........488..........1460............4376
....20.....84......376.......1708.........7784.........35500..........161928
....56....376.....2606......18152.......126536........882182.........6150512
...164...1708....18152.....193664......2068148......22091516.......235994088
...488...7784...126536....2068148.....33865634.....554916092......9094954742
..1460..35500...882182...22091516....554916092...13956665238....351210375464
..4376.161928..6150512..235994088...9094954742..351210375464..13574876544398
.13124.738636.42881096.2521075824.149077423220.8839958693704.524918733085720
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..420
FORMULA
Empirical for column k:
k=1: a(n) = 4*a(n-1) -3*a(n-2)
k=2: a(n) = 6*a(n-1) -7*a(n-2) +2*a(n-3)
k=3: a(n) = 10*a(n-1) -24*a(n-2) +21*a(n-3) -6*a(n-4)
k=4: a(n) = 17*a(n-1) -81*a(n-2) +157*a(n-3) -140*a(n-4) +56*a(n-5) -8*a(n-6)
k=5: a(n) = 31*a(n-1) -321*a(n-2) +1569*a(n-3) -4179*a(n-4) +6420*a(n-5) -5671*a(n-6) +2668*a(n-7) -516*a(n-8)
k=6: (order 14 recurrence)
k=7: (order 20 recurrence)
EXAMPLE
Some solutions for n=4 k=3
..0..1..1..0....0..0..1..0....0..0..1..0....0..0..1..0....0..1..0..0
..1..1..0..0....0..1..1..1....1..1..1..1....0..1..1..1....1..1..0..1
..0..0..0..1....1..1..0..1....0..1..0..1....0..0..0..0....1..0..0..1
..0..1..1..1....1..0..0..1....0..1..0..0....1..0..1..0....0..0..1..1
..0..1..0..0....1..1..0..1....0..1..1..0....0..0..0..0....0..1..1..0
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Jan 25 2012
STATUS
approved