OFFSET
1,1
COMMENTS
Table starts
.....3......6.......12........24..........48............96............192
.....9.....18.......54.......144.........396..........1080...........2952
....27.....54......246.......912........3612.........13992..........54600
....81....162.....1122......5808.......33702........186720........1054446
...243....486.....5118.....37008......316800.......2515716.......20706696
...729...1458....23346....235824.....2986152......33994188......409408542
..2187...4374...106494...1502736....28178262.....459797904.....8119777890
..6561..13122...485778...9575856...266016264....6221092260...161274860934
.19683..39366..2215902..61020048..2511769872...84180552504..3205524631536
.59049.118098.10107954.388836912.23718269934.1139126465856.63736076920680
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..391
FORMULA
Empirical for column k:
k=1: a(n) = 3*a(n-1)
k=2: a(n) = 3*a(n-1)
k=3: a(n) = 5*a(n-1) -2*a(n-2)
k=4: a(n) = 7*a(n-1) -4*a(n-2)
k=5: a(n) = 14*a(n-1) -45*a(n-2) +15*a(n-3) +36*a(n-4) -19*a(n-5) +2*a(n-6)
k=6: [order 9]
k=7: [order 19]
Empirical for row n:
n=1: a(n) = 2*a(n-1)
n=2: a(n) = 2*a(n-1) +2*a(n-2)
n=3: a(n) = 3*a(n-1) +4*a(n-2) -2*a(n-3) for n>4
n=4: a(n) = 3*a(n-1) +16*a(n-2) -3*a(n-3) -25*a(n-4) +2*a(n-5) +4*a(n-6) for n>7
n=5: [order 10] for n>11
n=6: [order 23] for n>24
n=7: [order 46] for n>47
EXAMPLE
Some solutions for n=4 k=4
..0..0..1..0....0..0..1..0....0..0..1..0....0..0..1..0....1..0..0..1
..0..0..1..2....0..0..1..2....1..0..1..0....1..0..1..0....1..0..0..1
..1..0..1..2....0..0..1..0....1..0..1..2....0..0..1..2....0..0..0..0
..0..0..1..2....0..0..0..0....0..0..1..0....1..0..1..2....1..0..1..0
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 02 2013
STATUS
approved