OFFSET
1,3
COMMENTS
Table starts
....1......1........1.........1.........1..........1...........1...........1
....2......4........6.........8........10.........12..........14..........16
....6.....18.......36........60........90........126.........168.........216
...12.....72......212.......464.......860.......1432........2212........3232
...32....320.....1324......3734......8470......16682.......29750.......49284
...80...1414.....8342.....30484.....84852.....197962......407946......766664
..200...6346....53302....252154....860854....2378412.....5662636....12071420
..520..28766...343710...2105064...8815392...28844590....79345982...191873280
.1336.131246..2232322..17701326..90927530..352355640..1119873360..3071898666
.3472.602390.14582218.149708146.943302430.4329146404.15897133212.49465959068
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..1096
FORMULA
Empirical for rows:
T(1,k) = 1
T(2,k) = 2*k
T(3,k) = 3*k^2 + 3*k
T(4,k) = (16/3)*k^3 + 8*k^2 - (4/3)*k
T(5,k) = (115/12)*k^4 + (115/6)*k^3 + (41/12)*k^2 - (1/6)*k
T(6,k) = (88/5)*k^5 + 44*k^4 + (58/3)*k^3 - 3*k^2 + (31/15)*k
T(7,k) = (5887/180)*k^6 + (5887/60)*k^5 + (620/9)*k^4 + (11/12)*k^3 + (433/180)*k^2 - (91/30)*k
EXAMPLE
Some solutions for n=6 k=5
..1...-1....0...-4...-1....4....1...-5....1....2...-1....1....3....3....1....5
..0...-1...-1...-3....0....5...-3....0....1...-3...-3...-4....2...-5....1....2
.-4....5....3...-1...-2...-3....5....1...-1....5....0....2...-3....4...-4...-5
..3...-2...-3....2....2...-4...-1....2...-4....4...-2....2....2...-5....5...-1
..1...-3...-2....4...-4...-4....0....5....2...-5....5....4...-4....0...-2....1
.-1....2....3....2....5....2...-2...-3....1...-3....1...-5....0....3...-1...-2
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Nov 07 2011
STATUS
approved