OFFSET
1,4
COMMENTS
Table starts
.0.....0.......2........2..........5...........8............15..............26
.0.....2.......6.......14.........26..........48............84.............146
.0.....8......35......106........286.........746..........1887............4700
.0....26.....168......736.......2948.......11434.........42494..........154886
.0....80.....766.....4940......29140......167904........927615.........5029822
.0...240....3402....32430.....281350.....2407152......19743140.......158848594
.0...708...14827...209558....2672708....33954530.....413326300......4935790522
.0..2062...63680..1337624...25057618...472691878....8539248826....151323545378
.0..5944..270313..8453760..232453138..6511502806..174560480712...4589874672896
.0.16990.1136546.52990574.2137856646.88926626284.3537506044402.137999764109606
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..199
FORMULA
Empirical for column k:
k=1: a(n) = a(n-1)
k=2: a(n) = 6*a(n-1) -11*a(n-2) +6*a(n-3) -a(n-4)
k=3: a(n) = 10*a(n-1) -35*a(n-2) +54*a(n-3) -45*a(n-4) +20*a(n-5) -4*a(n-6) for n>7
k=4: [order 16] for n>17
k=5: [order 25] for n>26
k=6: [order 64] for n>65
Empirical for row n:
n=1: a(n) = 2*a(n-1) +a(n-2) -2*a(n-3) -a(n-4) for n>5
n=2: a(n) = 3*a(n-1) -a(n-2) -3*a(n-3) +a(n-4) +a(n-5)
n=3: [order 16] for n>18
n=4: [order 45] for n>50
EXAMPLE
Some solutions for n=4 k=4
..0..1..1..0. .0..1..0..1. .0..1..0..1. .0..1..0..0. .0..1..0..0
..1..0..1..0. .1..0..1..1. .1..0..1..0. .0..1..0..0. .0..1..1..0
..0..1..1..0. .0..0..0..1. .0..1..1..0. .0..1..1..0. .1..0..0..0
..0..1..0..1. .1..0..1..0. .0..0..1..1. .0..1..0..1. .0..1..1..0
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 18 2016
STATUS
approved