OFFSET
1,2
COMMENTS
Table starts
....1.......4.........16............64..............256................1024
....6......64........768..........9216...........110592.............1327104
...36....1024......36864.......1327104.........48365568..........1764753408
..216...16384....1769472.....191102976......21177040896.......2356125106176
.1296..262144...84934656...27518828544....9273505480704....3147420753985536
.7776.4194304.4076863488.3962711310336.4060947412942848.4204783428144463872
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..241
FORMULA
Empirical for column k:
k=1: a(n) = 6*a(n-1)
k=2: a(n) = 16*a(n-1)
k=3: a(n) = 48*a(n-1)
k=4: a(n) = 144*a(n-1)
k=5: a(n) = 480*a(n-1) -18432*a(n-2)
k=6: a(n) = 1600*a(n-1) -368640*a(n-2) +21233664*a(n-3)
k=7: a(n) = 5376*a(n-1) -5750784*a(n-2) +2038431744*a(n-3) -217432719360*a(n-4)
Empirical for row n:
n=1: a(n) = 4*a(n-1)
n=2: a(n) = 12*a(n-1) for n>2
n=3: a(n) = 40*a(n-1) -128*a(n-2) for n>4
n=4: a(n) = 144*a(n-1) -3840*a(n-2) +24576*a(n-3) for n>7
n=5: [order 7] for n>11
n=6: [order 9] for n>15
n=7: [order 27] for n>33
EXAMPLE
Some solutions for n=3 k=4
..0..2..0..2....0..3..5..2....0..2..5..4....0..4..0..4....0..1..3..4
..0..4..0..1....0..3..5..3....0..4..0..1....0..4..0..4....0..1..0..1
..0..4..5..4....0..1..0..1....0..4..2..1....0..2..0..1....0..1..2..4
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Mar 19 2013
STATUS
approved