OFFSET
1,2
COMMENTS
Table starts
......1.........2.............5................14....................41
......3........14............95...............662..................4631
.....10.......122..........1985.............32414................529862
.....36......1094.........41675...........1588262..............60632429
....136......9842........875165..........77824814............6938214854
....528.....88574......18378455........3813415862..........793945203881
...2080....797162.....385947545......186857377214........90851753687090
...8256...7174454....8104898435.....9156011483462.....10396235291448605
..32896..64570082..170202867125...448644562689614...1189649113515482414
.131328.581130734.3574260209615.21983583571791062.136132453105625552657
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..241
FORMULA
Empirical for column k:
k=1: a(n) = 6*a(n-1) -8*a(n-2)
k=2: a(n) = 10*a(n-1) -9*a(n-2)
k=3: a(n) = 22*a(n-1) -21*a(n-2)
k=4: a(n) = 50*a(n-1) -49*a(n-2)
k=5: a(n) = 118*a(n-1) -411*a(n-2) +294*a(n-3)
k=6: a(n) = 283*a(n-1) -4251*a(n-2) +13573*a(n-3) -9604*a(n-4)
k=7: [order 6]
Empirical for row n:
n=1: a(n) = 4*a(n-1) -3*a(n-2)
n=2: a(n) = 8*a(n-1) -7*a(n-2) for n>3
n=3: a(n) = 19*a(n-1) -45*a(n-2) +27*a(n-3) for n>5
n=4: a(n) = 49*a(n-1) -450*a(n-2) +1466*a(n-3) -1853*a(n-4) +789*a(n-5) for n>8
n=5: [order 10] for n>14
n=6: [order 21] for n>26
n=7: [order 52] for n>58
EXAMPLE
Some solutions for n=3 k=4
..0..1..3..1....0..1..3..1....0..0..0..1....0..0..1..1....0..0..1..0
..1..1..3..2....3..2..3..2....2..0..1..0....2..3..1..3....2..3..2..3
..3..3..2..3....3..3..3..2....2..3..1..3....1..1..3..2....1..3..1..0
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 03 2013
STATUS
approved