OFFSET
1,3
COMMENTS
Table starts
..1..1....3....5.....11......21.......43........85........171.........341
..3..2...19...30....143.....322.....1179......3110......10183.......28842
..9..4..121..180...2041....5068....37441....121588.....722009.....2720828
.27..8..771.1080..29540...79968..1241355...4807928...54733587...263068168
.81.16.4913.6480.428383.1262128.41634729.190532944.4254090231.25595530224
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..309
FORMULA
Empirical for column k:
k=1: a(n) = 3*a(n-1)
k=2: a(n) = 2*a(n-1)
k=3: a(n) = 7*a(n-1) -4*a(n-2)
k=4: a(n) = 6*a(n-1)
k=5: a(n) = 19*a(n-1) -71*a(n-2) +86*a(n-3) -24*a(n-4)
k=6: a(n) = 18*a(n-1) -36*a(n-2) +16*a(n-3)
k=7: a(n) = 54*a(n-1) -820*a(n-2) +4906*a(n-3) -11803*a(n-4) +11888*a(n-5) -4672*a(n-6) +576*a(n-7)
Empirical for row n:
n=1: a(k)=a(k-1)+2*a(k-2)
n=2: a(k)=2*a(k-1)+5*a(k-2)-6*a(k-3)
n=3: a(k)=3*a(k-1)+15*a(k-2)-33*a(k-3)-22*a(k-4)+38*a(k-5)+8*a(k-6)-8*a(k-7)
n=4: (order 11)
n=5: (order 29)
n=6: (order 40)
EXAMPLE
Some solutions for n=4 k=1
..0..1....0..1....0..1....0..1....0..1....0..1....0..1....0..1....0..1....0..1
..2..0....2..0....1..0....1..2....1..2....1..2....1..2....2..0....1..0....1..2
..0..1....1..2....0..1....0..1....2..0....2..0....2..0....0..2....2..1....0..1
..1..2....2..0....2..0....2..0....0..2....1..2....0..1....1..0....1..2....1..0
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Jul 04 2012
STATUS
approved