OFFSET
1,2
COMMENTS
Table starts
....1......4.........16............64..............256................1024
....4.....48........576..........6912............82944..............995328
...16....576......20992........765952.........27951104..........1020002304
...64...6912.....765952......85327872.......9515827200.......1061444124672
..256..82944...27951104....9515827200....3249109204992....1110327429169152
.1024.995328.1020002304.1061444124672.1110327429169152.1163614255186968576
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..364
FORMULA
Empirical for column k:
k=1: a(n) = 4*a(n-1)
k=2: a(n) = 12*a(n-1)
k=3: a(n) = 40*a(n-1) -128*a(n-2)
k=4: a(n) = 144*a(n-1) -3840*a(n-2) +24576*a(n-3)
k=5: a(n) = 512*a(n-1) -66560*a(n-2) +3014656*a(n-3) -50331648*a(n-4) +268435456*a(n-5)
k=6: [order 7]
k=7: [order 13]
EXAMPLE
Some solutions for n=3 k=4
..0..2..4..2....0..1..5..4....0..3..4..2....0..2..0..4....0..2..0..3
..3..1..2..5....3..5..3..0....3..1..3..5....3..5..2..0....3..5..2..5
..0..3..1..2....0..2..0..2....0..3..5..4....1..3..5..2....1..2..1..2
Face neighbors:
0,5 -> 1 2 3 4
1,4 -> 0 2 3 5
2,3 -> 0 1 4 5
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Mar 18 2013
STATUS
approved