OFFSET
1,1
COMMENTS
Table starts
............16..........48............144..............432.................1296
...........256.........432...........2304............12384................66816
..........4096........3888..........37008...........363600..............3788640
.........65536.......34992.........595584.........10817856............223096320
.......1048576......314928........9594000........324280368..........13402129824
......16777216.....2834352......154616832.......9762152544.........814399853760
.....268435456....25509168.....2492365968.....294583794768.......49817845241568
....4294967296...229582512....40180445568....8901308553408.....3059068970173824
...68719476736..2066242608...647800215696..269168305340592...188252023352797728
.1099511627776.18596183472.10444288589568.8142829402619232.11599193857488796224
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..218
FORMULA
Empirical for column k:
k=1: a(n) = 16*a(n-1)
k=2: a(n) = 9*a(n-1)
k=3: a(n) = 24*a(n-1) -127*a(n-2)
k=4: a(n) = 59*a(n-1) -1103*a(n-2) +7621*a(n-3) -16900*a(n-4)
k=5: [order 7] for n>8
k=6: [order 17]) for n>18
k=7: [order 37] for n>39
Empirical for row n:
n=1: a(n) = 3*a(n-1)
n=2: a(n) = 8*a(n-1) -11*a(n-2) -16*a(n-3) for n>4
n=3: a(n) = [order 10]) for n>12
n=4: a(n) = [order 24] for n>27
n=5: a(n) = [order 56] for n>61
EXAMPLE
Some solutions for n=3 k=4
..2..1..9..1....6..5..4..5....6.14..6.14....4..3..2.10....2..3..4..3
..2..1..9.11....4..5..6.14...12.14..8.14....2.10..2.10....4..3.11.13
..9.11..9.15....6..7..6.14....8..0..8..0....8.10..8.10...11.13.11..9
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Mar 25 2013
STATUS
approved