OFFSET
1,1
COMMENTS
Table starts
.....3........9.........24...........60............144..............336
.....9.......60........240..........912...........3312............11664
....27......336.......2016........11664..........63792...........339480
....81.....1728......15552.......136080........1125360..........9093528
...243.....8448.....114048......1504656.......18852912........231730344
...729....39936.....808704.....16061328......305242992.......5712070032
..2187...184320....5598720....167226768.....4823705520.....137497776840
..6561...835584...38071296...1709114256....74858700528....3251386055664
.19683..3735552..255301632..17218688400..1145496747312...75828095546544
.59049.16515072.1693052928.171498136464.17332683832944.1748970953035272
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..287
FORMULA
Empirical for column k:
k=1: a(n) = 3*a(n-1)
k=2: a(n) = 8*a(n-1) -16*a(n-2)
k=3: a(n) = 12*a(n-1) -36*a(n-2)
k=4: a(n) = 18*a(n-1) -81*a(n-2) for n>3
k=5: a(n) = 30*a(n-1) -261*a(n-2) +540*a(n-3) -324*a(n-4)
k=6: a(n) = 50*a(n-1) -805*a(n-2) +4662*a(n-3) -12150*a(n-4) +14580*a(n-5) -6561*a(n-6)
k=7: [order 8]
Empirical for row n:
n=1: a(n) = 4*a(n-1) -4*a(n-2)
n=2: a(n) = 6*a(n-1) -9*a(n-2) for n>4
n=3: a(n) = 10*a(n-1) -29*a(n-2) +20*a(n-3) -4*a(n-4) for n>6
n=4: [order 6] for n>12
n=5: [order 14] for n>18
n=6: [order 18] for n>26
n=7: [order 54] for n>60
EXAMPLE
Some solutions for n=4 k=4
..1..0..0..1. .2..1..0..1. .2..1..2..1. .2..1..2..1. .1..2..1..2
..1..2..2..2. .0..0..2..2. .0..1..2..1. .1..2..2..1. .1..0..0..0
..2..2..2..2. .1..2..2..2. .2..1..0..0. .2..2..2..2. .1..0..1..2
..2..2..1..2. .2..1..2..2. .1..0..0..1. .2..2..1..0. .1..2..2..1
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Feb 16 2016
STATUS
approved