OFFSET
1,2
COMMENTS
Table starts
...1....2.....3......5.......8.......13........21.........34...........55
...2....5....10.....18......35.......74.......154........317..........658
...4...13....33.....70.....154......433......1166.......3153.........8468
...8...34...115....265.....692.....2838.....10526......36080.......126064
..16...89...386...1018....3048....18492.....94846.....421570......1921284
..32..233..1323...3914...13712...124046....893236....5075048.....30184552
..64..610..4485..15017...61536...829709...8320747...61236964....475553912
.128.1597.15290..57850..277248..5574946..78493707..745344973...7586538720
.256.4181.51977.222146.1248512.37461858.737846612.9066111545.120905954176
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..310
FORMULA
Empirical for column k:
k=1: a(n) = 2*a(n-1).
k=2: a(n) = 3*a(n-1) -a(n-2).
k=3: a(n) = a(n-1) +7*a(n-2) +4*a(n-3)
k=4: a(n) = a(n-1) +14*a(n-2) -a(n-3) -42*a(n-4) -a(n-5) +14*a(n-6) +a(n-7) -a(n-8).
k=5: [order 7] for n>9.
k=6: [order 32] for n>33.
k=7: [order 52] for n>54.
Empirical for row n:
n=1: a(n) = a(n-1) +a(n-2).
n=2: a(n) = 2*a(n-1) +a(n-3) -a(n-4) -2*a(n-6) +a(n-7).
n=3: [order 26] for n>27.
n=4: [order 92] for n>93.
EXAMPLE
Some solutions for n=5, k=4
..0..1..1..0. .0..1..0..1. .0..1..1..1. .0..1..0..1. .0..0..1..0
..0..0..1..0. .0..0..1..1. .0..1..0..1. .0..1..1..1. .1..0..0..1
..1..0..0..1. .0..1..0..0. .0..0..0..1. .0..1..0..1. .1..0..1..0
..1..0..1..0. .0..1..1..1. .1..1..0..1. .0..1..0..1. .1..0..1..0
..1..0..1..1. .0..1..0..0. .0..0..0..1. .0..1..0..0. .0..1..0..1
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Mar 31 2018
STATUS
approved