OFFSET
1,2
COMMENTS
Table starts
.0.......3........12..........36............96............240..............576
.0......36.......168.........696..........2664...........9720............34344
.0.....240......1584........9720.........54936.........299088..........1585800
.0....1344.....12960......118584.......1004184........8250912.........66210264
.0....6912.....98496.....1347192......17194680......214142760.......2611960344
.0...33792....715392....14644152.....282550680.....5344944120......99308573208
.0..159744...5038848...154472184....4513169016...129834259704....3679171151832
.0..737280..34712064..1594323000...70609114584..3091414865040..133712637011640
.0.3342336.235146240.16185567096.1087342615224.72488795124312.4788143315276472
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..287
FORMULA
Empirical for column k:
k=1: a(n) = 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..0. .0..1..2..1. .0..1..2..1. .1..0..0..0. .2..1..0..1
..0..0..0..0. .2..2..2..2. .0..1..0..0. .0..0..1..2. .2..1..2..2
..1..1..0..0. .1..0..1..0. .2..0..1..0. .1..0..0..0. .0..1..1..0
..2..1..0..0. .1..0..1..2. .1..0..0..0. .0..1..0..0. .0..0..0..0
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Feb 15 2016
STATUS
approved