OFFSET
1,3
COMMENTS
Table starts
.........1.............1................1..................1
.........9............25...............49.................81
.......171..........2125............11319..............39609
......6939........626525.........12608631..........119743353
....609309.....649112125......68604760497......2266745635377
.116330103.2375645170875.1833160598134397.270149651796118149
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..74
FORMULA
Empirical for rows:
T(1,k) = 1;
T(2,k) = 4*k^2 + 4*k + 1;
T(3,k) = (64/3)*k^5 + (160/3)*k^4 + 56*k^3 + (92/3)*k^2 + (26/3)*k + 1;
T(4,k) = (49024/315)*k^9 + (24512/35)*k^8 + (457792/315)*k^7 + (81824/45)*k^6 + (67912/45)*k^5 + (38756/45)*k^4 + (11832/35)*k^3 + (27752/315)*k^2 + (1454/105)*k + 1;
T(5,k) = (735698944/467775)*k^14 + (735698944/66825)*k^13 + (5736600832/155925)*k^12 + (36310211072/467775)*k^11 + (4906182016/42525)*k^10 + (603389056/4725)*k^9 + (4615314688/42525)*k^8 + (3060288256/42525)*k^7 + (176877304/4725)*k^6 + (647154728/42525)*k^5 + (2229757561/467775)*k^4 + (174277454/155925)*k^3 + (1380143/7425)*k^2 + (68144/3465)*k + 1;
EXAMPLE
Some solutions for n=6, k=5
...0..................0..................0..................0
...3..0...............0.-4..............-4.-4...............2.-2
...4..5.10...........-3..1.-4...........-3.-3..0............3..0.-2
...7..5..7..4........-1.-3.-4.-8.........2..0..1.-3.........7..5..1..1
...2..2..3..0..5.....-5..0.-5.-6.-9......6..2..3.-2..3......3..6..4..2.-3
..-2..1..0..1..1.-1..-2..0.-4.-6-10.-5..11..6..1.-4.-1..4...1..4..3..0.-5.-8
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Sep 14 2011
STATUS
approved