OFFSET
1,1
COMMENTS
Table starts
...4.....9.......25.........64...........169.............441...............1156
...8....39......245.......1448..........8788...........52941.............319906
..16...169.....2401......32761........456976.........6355441...........88529281
..32...715....24010.....645627......19553300.......563080476........16552783250
..64..3025...240100...12723489.....836655625.....49887902736......3094960562500
.128.12815..2401000..252076323...35960283125...4553473226652....607571415109250
.256.54289.24010000.4994107561.1545608400625.415614152704689.119272286997956401
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..198
FORMULA
Empirical for column k:
k=1: a(n) = 2*a(n-1)
k=2: a(n) = 4*a(n-1) +4*a(n-3) +a(n-4)
k=3: a(n) = 10*a(n-1) for n>3
k=4: a(n) = 19*a(n-1) +304*a(n-3) +256*a(n-4)
k=5: [order 14]
k=6: [order 25] for n>27
k=7: [order 25] for n>27
Empirical for row n:
n=1: a(n) = 2*a(n-1) +2*a(n-2) -a(n-3)
n=2: [order 8]
n=3: a(n) = 14*a(n-1) +14*a(n-2) -210*a(n-3) +210*a(n-5) -14*a(n-6) -14*a(n-7) +a(n-8)
n=4: [order 52]
n=5: [order 96]
EXAMPLE
Some solutions for n=3 k=4
..0..1..2.11..3....1..0.10.11..4....0..1..2..4..3....1..0..3..2..4
..6..5..7..9..8....5..7..6.16..9....5..6..8.16.17....5..6.15..8.17
.10.12..4.14.13....2..3.12.13.14...11.10.13.12.14...11.10.12.13.14
.15.16.17.19.18...15..8.18.17.19....7.15..9.19.18....7.16..9.19.18
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 03 2015
STATUS
approved