OFFSET
1,2
COMMENTS
Table starts
...1....2.....5.....14......41......122.......365.......1094........3281
...2....9....54....324....1944....11664.....69984.....419904.....2519424
...3...16....80....400....2000....10000.....50000.....250000.....1250000
...6...28...136....656....3168....15296.....73856.....356608.....1721856
..12...56...232....988....4180....17712.....75024.....317812.....1346268
..24..104...516...2628...13384....68080....346528....1763408.....8974288
..48..200..1168...7140...43780...268152...1643372...10069540....61703488
..96..380..2660..19368..143784..1063756...7886280...58423188...432942008
.192..724..6024..52864..470352..4220952..37846556..339516412..3045734096
.384.1380.13716.144228.1549756.16808164.182923008.1989999904.21655912500
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..312
FORMULA
Empirical for column k:
k=1: a(n) = 2*a(n-1) for n>3
k=2: a(n) = a(n-1) +2*a(n-2) -a(n-4) for n>6
k=3: a(n) = 2*a(n-1) +2*a(n-2) -2*a(n-3) -4*a(n-4) +3*a(n-5) +a(n-6) -a(n-7) for n>11
k=4: [order 16] for n>20
k=5: [order 32] for n>36
k=6: [order 64] for n>68
Empirical for row n:
n=1: a(n) = 4*a(n-1) -3*a(n-2)
n=2: a(n) = 6*a(n-1) for n>2
n=3: a(n) = 5*a(n-1) for n>2
n=4: a(n) = 4*a(n-1) +4*a(n-2)
n=5: a(n) = 3*a(n-1) +5*a(n-2) +a(n-3)
n=6: a(n) = 3*a(n-1) +10*a(n-2) +4*a(n-3) -4*a(n-4) for n>5
n=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>6
EXAMPLE
Some solutions for n=4 k=4
..0..0..1..1. .0..0..0..0. .0..0..0..0. .0..1..2..0. .0..1..0..0
..0..1..2..0. .1..2..1..1. .1..1..2..2. .0..1..2..0. .1..1..2..2
..1..1..2..0. .1..2..1..2. .1..2..2..1. .1..2..0..1. .1..2..2..1
..2..2..0..1. .0..0..0..2. .2..2..0..0. .1..2..0..1. .0..0..0..0
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jul 30 2016
STATUS
approved