OFFSET
1,1
COMMENTS
Table starts
......512....2444...9374..34698.113474.330684..914320.2433544.6176662.15093057
.....2444....6271..18341..50654.131557.317141..701282.1467387.2896645..5442921
.....9374...21073..55760.159480.397152.915452.2005182.4136140.8078000.15207697
....34698...59549.116098.225215.402742.780329.1284465.2218382.3724801..6307988
...113474..130296.142316.177118.219424.321144..431280..628483..873376..1362527
...330684..263417.191035.174655.210946.292814..390714..533771..758616..1186813
...914320..459014.134036..49839..35404..49717...73734..133352..251774...493203
..2433544..746902.138255..44035..30072..42876...61001..112980..214950...418576
..6176662.1157855.135282..31798..23070..35111...59336..109259..204210...388170
.15093057.1747626.125066..31346..28125..36146...60827..109221..200940...373950
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..2450
FORMULA
Empirical for column k:
k=1: [linear recurrence of order 68] for n>70
k=2: [order 46] for n>60
k=3: [order 22] for n>36
k=4: a(n) = 2*a(n-1) -a(n-2) +a(n-12) -2*a(n-13) +a(n-14) for n>27
k=5: a(n) = a(n-1) +a(n-12) -a(n-13) for n>23
k=6: a(n) = a(n-1) +a(n-12) -a(n-13) for n>24
k=7: a(n) = a(n-1) +a(n-12) -a(n-13) for n>25
Empirical quasipolynomials for column k:
k=3: quasipolynomial of degree 2 with period 60 for n>14
k=4: polynomial of degree 2 plus a quasipolynomial of degree 0 with period 12 for n>13
k=5: polynomial of degree 1 plus a quasipolynomial of degree 0 with period 12 for n>10
k=6: polynomial of degree 1 plus a quasipolynomial of degree 0 with period 12 for n>11
k=7: polynomial of degree 1 plus a quasipolynomial of degree 0 with period 12 for n>12
Empirical for row n:
n=1: [linear recurrence of order 68] for n>70
n=2: [order 64] for n>82
EXAMPLE
Some solutions for n=3 k=4
..0..1..0..1..1..1....1..1..0..1..0..0....0..0..0..1..0..0....0..1..0..0..1..0
..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....1..0..0..0..0..1
..0..1..1..1..1..1....0..0..1..0..1..1....0..0..0..0..1..0....1..1..1..1..1..1
..0..1..0..1..1..0....1..0..1..0..1..0....0..1..1..1..1..0....0..1..0..1..1..0
..0..1..1..1..0..1....1..1..1..1..1..0....1..0..0..1..1..1....0..1..1..1..0..1
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jun 16 2015
STATUS
approved