OFFSET
1,1
COMMENTS
Table starts
..750..730..621...719...778....932...1200....1498....1968....2708.....3473
..595..337..341...462...706...1000...1468....2420....3480....5240.....8872
..460..334..466...626..1120...1760...2404....4304....6832....9416....16864
..535..426..610...790..1592...2440...3160....6368....9760...12640....25472
..546..676.1114..1676..4420...7184..11456...31136...50560...83840...232192
..649..964.1748..2504..7136..13184..19232...54656..102272..150656...427520
..823.1344.2332..3160.10720..18656..25280...85760..149248..202240...686080
.1036.2312.4244..6704.30752..54464..91648..433664..763904.1341440..6471680
.1328.3336.6760.10016.49792.101888.153856..760832.1580032.2410496.11886592
.1756.4800.9112.12640.77696.145792.202240.1243136.2332672.3235840.19890176
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..612
FORMULA
Empirical for column k:
k=1: a(n) = 4*a(n-3) -3*a(n-6) -4*a(n-9) +4*a(n-12) for n>23
k=2: a(n) = 6*a(n-3) -8*a(n-6) for n>10
k=3: a(n) = 6*a(n-3) -8*a(n-6) for n>8
k=4: a(n) = 4*a(n-3) for n>5
k=5: a(n) = 12*a(n-3) -32*a(n-6) for n>8
k=6: a(n) = 12*a(n-3) -32*a(n-6) for n>8
k=7: a(n) = 8*a(n-3) for n>5
Empirical for row n:
n=1: a(n) = 4*a(n-3) -3*a(n-6) -4*a(n-9) +4*a(n-12) for n>39
n=2: a(n) = 6*a(n-3) -8*a(n-6) for n>10
n=3: a(n) = 6*a(n-3) -8*a(n-6) for n>8
n=4: a(n) = 4*a(n-3) for n>5
n=5: a(n) = 12*a(n-3) -32*a(n-6) for n>8
n=6: a(n) = 12*a(n-3) -32*a(n-6) for n>8
n=7: a(n) = 8*a(n-3) for n>5
EXAMPLE
Some solutions for n=4 k=4
..2..2..3..2..2..3....1..1..0..1..1..0....3..2..2..3..2..2....0..2..1..0..1..1
..3..2..2..3..2..2....2..0..0..3..0..0....3..0..3..3..0..3....0..2..0..0..3..3
..3..0..3..3..0..3....1..0..1..1..0..1....2..2..3..2..2..3....1..1..0..1..1..0
..2..2..3..2..2..3....1..1..0..1..1..0....3..2..2..3..2..2....0..1..1..0..1..1
..3..2..2..3..2..2....3..0..0..2..0..0....3..1..3..3..0..3....0..3..0..0..3..0
..0..0..3..3..1..3....1..0..1..1..0..1....2..2..3..2..2..3....1..1..0..1..1..0
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 18 2014
STATUS
approved