OFFSET
1,2
COMMENTS
Table starts
......1.........3............9..............27.................81
......3........15...........75.............375...............1875
......9........75..........657............5763..............50553
.....27.......375.........5763...........90111............1412907
.....81......1875........50553.........1412907...........39868737
....243......9375.......443451........22163655.........1127761923
....729.....46875......3889953.......347696019........31921015497
...2187....234375.....34122675......5454600015.......903661481115
...6561...1171875....299324169.....85571052219.....25583075832465
..19683...5859375...2625672171...1342427863959....724276345970163
..59049..29296875..23032401201..21059839795875..20504869741550745
.177147.146484375.202040266467.330384125138847.580510427181846027
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..220
FORMULA
Empirical for column k:
k=1: a(n) = 3*a(n-1)
k=2: a(n) = 5*a(n-1)
k=3: a(n) = 9*a(n-1) -2*a(n-2)
k=4: a(n) = 19*a(n-1) -54*a(n-2) +32*a(n-3)
k=5: a(n) = 31*a(n-1) -24*a(n-2) -1612*a(n-3) +3816*a(n-4) +1152*a(n-5) -2784*a(n-6) +256*a(n-7)
k=6: [order 12]
k=7: [order 28]
EXAMPLE
Some solutions for n=3 k=4
..0..2..0..1....0..2..0..2....0..5..0..2....0..2..3..4....0..1..6.10
..2..8..2..0....2..8..2..8....5..9..5..0....2..0..2..3....1..6..1..6
..3..2..3..2....3..2..8.13....0..5..0..5....0..2..8..2....4..1..4..1
Face neighbors:
0 -> 1 2 5
1 -> 0 4 6
2 -> 0 3 8
3 -> 2 4 16
4 -> 3 1 17
5 -> 0 7 9
6 -> 1 7 10
7 -> 6 5 11
8 -> 2 9 13
9 -> 8 5 14
10 -> 6 12 17
11 -> 7 12 14
12 -> 11 10 19
13 -> 8 15 16
14 -> 9 11 15
15 -> 14 13 19
16 -> 3 13 18
17 -> 4 10 18
18 -> 16 17 19
19 -> 15 18 12
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Mar 18 2013
STATUS
approved