OFFSET
1,1
COMMENTS
Table starts
.....6......24........96.........384..........1536............6144
....24.....144.......864........5184.........31104..........186624
....96.....864......7776.......69984........629856.........5668704
...384....5184.....69984......956448......13071456.......178855776
..1536...31104....629856....13071456.....271918944......5671161216
..6144..186624...5668704...178855776....5671161216....180709558848
.24576.1119744..51018336..2447270496..118333620576...5764846339584
.98304.6718464.459165024.33489653472.2469841766784.184042295652096
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..220
FORMULA
Empirical for column k:
k=1: a(n) = 6*4^(n-1)
k=2: a(n) = 4*6^n
k=3: a(n) = 96*9^(n-1)
k=4: a(n) = 15*a(n-1) -270*a(n-3) +324*a(n-4)
k=5: a(n) = 25*a(n-1) -45*a(n-2) -963*a(n-3) +2025*a(n-4) +3645*a(n-5) -6561*a(n-6)
k=6: (order 15 recurrence)
k=7: (order 45 recurrence)
EXAMPLE
Some solutions for n=4 k=3
..0..0..0..0....0..0..0..0....0..0..1..1....0..1..0..0....0..1..2..1
..1..1..1..2....1..2..1..2....1..2..2..0....2..2..2..1....2..1..2..0
..0..0..0..2....1..2..1..0....0..0..1..1....0..0..0..0....2..0..2..1
..1..1..1..1....0..2..1..2....1..2..2..0....1..1..1..1....1..1..2..1
..0..2..2..2....1..2..1..2....1..0..1..1....2..2..2..2....2..0..0..1
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Jan 09 2012
STATUS
approved