OFFSET
1,1
COMMENTS
Table starts
...14.....66.....204.......524.......1098........2070.........3584.........5808
...26....168.....660......2228.......5646.......12600........25280........46608
...48....428....2144......9504......29100.......76856.......178644.......374540
...88...1094....6960.....40588.....150112......469072......1263044......3011088
..162...2792...22572....173368.....774542.....2863158......8930228.....24208540
..298...7132...73204....740616....3996816....17477172.....63142432....194636612
..548..18232..237480...3164312...20626236...106687006....446465388...1564897170
.1008..46616..770416..13520668..106449362...651265876...3156873140..12581992958
.1854.119176.2499164..57772560..549377682..3975630136..22321652802.101161030608
.3410.304696.8107012.246857788.2835311880.24269116850.157832259724.813349549954
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..9999
FORMULA
Empirical for column k:
k=1: a(n) = a(n-1) +a(n-2) +a(n-3)
k=2: [order 12]
k=3: [order 8]
k=4: [order 40]
k=5: [order 87]
Empirical for row n:
n=1: a(n) = 3*a(n-1) -2*a(n-2) -a(n-3) +a(n-5) +2*a(n-6) -3*a(n-7) +a(n-8); also a polynomial of degree 4 plus a constant quasipolynomial with period 6
n=2: [order 32; also a polynomial of degree 5 plus a linear quasipolynomial with period 360]
EXAMPLE
Some solutions for n=4, k=4
..3....4....1....4....3....0....4....2....3....1....1....3....0....0....3....1
..2....0....4....1....2....1....4....3....0....1....0....2....3....2....2....0
..0....3....0....1....4....4....2....3....4....0....4....0....0....0....4....4
..2....3....4....4....4....1....3....2....4....0....3....2....4....0....0....4
..1....1....3....0....1....4....0....1....2....4....3....2....0....2....4....3
..0....4....2....4....4....4....1....4....0....1....3....0....1....1....0....0
..3....0....2....0....2....4....4....4....0....4....4....2....0....2....0....0
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Oct 24 2014
STATUS
approved