OFFSET
1,2
COMMENTS
Table starts
........1...........5..............25................125....................625
.......12.........125............1625..............21125.................274625
......144........3125..........105625............3570125..............122039125
.....1728.......78125.........6865625..........603351125............54279694625
....20736.....1953125.......446265625.......101966340125.........24143758634125
...248832....48828125.....29007265625.....17232311481125......10739266230499625
..2985984..1220703125...1885472265625...2912260640310125....4776881955584279125
.35831808.30517578125.122555697265625.492172048212411125.2124782217358970404625
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..97
FORMULA
Empirical for column k:
k=1: a(n) = 12*a(n-1)
k=2: a(n) = 25*a(n-1)
k=3: a(n) = 65*a(n-1)
k=4: a(n) = 169*a(n-1)
k=5: a(n) = 479*a(n-1) -15210*a(n-2)
k=6: a(n) = 1366*a(n-1) -232713*a(n-2) +9253764*a(n-3)
k=7: [order 8]
Empirical for row n:
n=1: a(n) = 5*a(n-1)
n=2: a(n) = 13*a(n-1) for n>2
n=3: a(n) = 38*a(n-1) -129*a(n-2) for n>4
n=4: [order 7] for n>10
n=5: [order 32] for n>36
EXAMPLE
Some solutions for n=3 k=4
..0..1..8..9....0..1..0..7....0..1..0..2....0..1..0..6....0..6..2..4
..0..2..8..2....0..5..0..5....0..6..0..2....0..6.10..5....0..1..2..4
..6..2..4..2....0..1..0..7....0..7..0..7....0..6.10..5....0..6.10..4
Vertex neighbors:
0 -> 1 2 5 6 7
1 -> 0 2 3 7 8
2 -> 0 1 4 6 8
3 -> 1 7 8 9 11
4 -> 2 6 8 9 10
5 -> 0 6 7 10 11
6 -> 0 2 4 5 10
7 -> 0 1 3 5 11
8 -> 1 2 3 4 9
9 -> 3 4 8 10 11
10 -> 4 5 6 9 11
11 -> 3 5 7 9 10
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Mar 19 2013
STATUS
approved