OFFSET
1,3
COMMENTS
Table starts
....1.......1..........3............10................36..................136
....3.......8.........80...........800..............8576................92672
...11......80.......2688.........78336...........2469888.............76447744
...48.....896......96256.......7938048.........736362496..........65265467392
..236...10496....3497984.....808583168......221463445504.......56275748519936
.1248..124928..127533056...82428559360....66799223701504....48667983827959808
.6896.1495040.4653056000.8403942375424.20170789919653888.42129429039341895680
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..287
FORMULA
Empirical for column k:
k=1: a(n) = 12*a(n-1) -44*a(n-2) +48*a(n-3)
k=2: a(n) = 16*a(n-1) -48*a(n-2)
k=3: a(n) = 48*a(n-1) -448*a(n-2) +1024*a(n-3)
k=4: a(n) = 128*a(n-1) -2816*a(n-2) +16384*a(n-3)
k=5: [order 7]
k=6: [order 10]
k=7: [order 20]
Empirical for row n:
n=1: a(n) = 6*a(n-1) -8*a(n-2) for n>3
n=2: a(n) = 12*a(n-1) -128*a(n-3) for n>4
n=3: a(n) = 32*a(n-1) +64*a(n-2) -3072*a(n-3) +8192*a(n-4) for n>5
n=4: [order 7] for n>8
n=5: [order 10] for n>11
n=6: [order 24] for n>25
n=7: [order 47] for n>48
EXAMPLE
Some solutions for n=3 k=4
..0..1..0..2....0..1..2..5....0..1..2..4....0..1..5..2....0..1..2..1
..2..4..0..1....0..1..2..0....0..4..3..1....5..3..0..3....0..1..5..1
..5..1..5..4....5..1..3..5....3..4..5..4....5..4..5..3....0..4..2..4
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 05 2013
STATUS
approved