OFFSET
1,2
COMMENTS
Table starts
.0........4..........24............108...............432................1620
.0......108........1368..........13896............127512.............1104264
.0.....1620.......46872........1104264..........23549400...........474819408
.0....20412.....1365336.......74853576........3719884392........174924572760
.0...236196....36673560.....4684312584......542973139128......59587625651904
.0..2598156...938176344...279339197256....75556007986536...19356924219624936
.0.27634932.23230366488.16128206816904.10181956012212600.6090616046325570480
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..241
FORMULA
Empirical for column k:
k=1: a(n) = a(n-1)
k=2: a(n) = 18*a(n-1) -81*a(n-2)
k=3: a(n) = 42*a(n-1) -441*a(n-2)
k=4: a(n) = 98*a(n-1) -2401*a(n-2) for n>3
k=5: a(n) = 234*a(n-1) -14277*a(n-2) +68796*a(n-3) -86436*a(n-4)
k=6: [order 6] for n>7
k=7: [order 10] for n>11
Empirical for row n:
n=1: a(n) = 6*a(n-1) -9*a(n-2)
n=2: a(n) = 14*a(n-1) -49*a(n-2) for n>4
n=3: a(n) = 36*a(n-1) -378*a(n-2) +972*a(n-3) -729*a(n-4) for n>7
n=4: [order 8] for n>12
n=5: [order 18] for n>23
n=6: [order 40] for n>46
EXAMPLE
Some solutions for n=3 k=4
..0..2..0..1. .0..0..0..0. .0..2..0..0. .0..0..0..0. .0..0..2..0
..0..2..3..1. .2..2..0..0. .2..2..3..1. .2..0..2..1. .0..2..2..3
..2..1..0..2. .3..2..1..1. .0..1..0..2. .0..0..1..3. .3..1..1..0
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Feb 21 2016
STATUS
approved