OFFSET
1,3
COMMENTS
Table starts
....1........1.......2........4........8........16........32.........64
....2........6......16.......48......144.......432......1296.......3888
....5.......36......80......224......528......1216......2816.......6544
...14......216.....400.....1088.....2320......6464.....17872......49792
...41.....1296....2000.....5248.....9744.....32384....107472.....362176
..122.....7776...10000....25344....41360....165568....663904....2695808
..365....46656...50000...122368...175120....841536...4055152...19906560
.1094...279936..250000...590848...741904...4283968..24875600..147762240
.3281..1679616.1250000..2852864..3142672..21800000.152379136.1093999424
.9842.10077696.6250000.13774848.13312656.110943552.933805200.8109111360
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..721
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)
k=3: a(n) = 5*a(n-1) for n>2
k=4: a(n) = 4*a(n-1) +4*a(n-2) for n>3
k=5: a(n) = 3*a(n-1) +5*a(n-2) +a(n-3) for n>4
k=6: a(n) = 3*a(n-1) +10*a(n-2) +4*a(n-3) -4*a(n-4) for n>6
k=7: a(n) = 3*a(n-1) +18*a(n-2) +11*a(n-3) -23*a(n-4) -4*a(n-5) for n>7
Empirical for row n:
n=1: a(n) = 2*a(n-1) for n>2
n=2: a(n) = 3*a(n-1) for n>3
n=3: a(n) = 3*a(n-1) -2*a(n-2) +a(n-3) for n>5
n=4: a(n) = 5*a(n-1) -9*a(n-2) +10*a(n-3) -6*a(n-4) +a(n-5) for n>9
n=5: [order 8] for n>12
n=6: [order 13] for n>18
n=7: [order 21] for n>27
EXAMPLE
Some solutions for n=5 k=4
..0..1..2..1. .0..1..0..1. .0..1..0..2. .0..1..2..1. .0..1..2..0
..2..0..1..0. .0..2..1..2. .2..0..1..2. .2..0..2..0. .0..1..2..0
..2..0..1..2. .1..2..1..0. .1..2..1..2. .2..0..1..2. .2..0..2..0
..1..2..0..1. .0..1..2..1. .0..2..0..1. .2..0..1..2. .2..0..1..2
..0..2..0..1. .2..1..2..0. .0..1..2..0. .1..2..0..2. .0..1..0..1
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jul 17 2016
STATUS
approved