OFFSET
1,2
COMMENTS
Table starts
...1...2...3....5....8...13....21....34....55.....89....144.....233.....377
...2...3...9...17...25...65...185...385...649...1489...3929....8609...15913
...4...6...7...12...20...34....56....94...156....262....436.....730....1216
...8..10..17...29...51..109...206...407...791...1584...3104....6165...12131
..16..21..31...73..140..296...603..1288..2584...5456..11189...23561...48423
..32..42..57..156..280..635..1247..2815..5524..12457..25230...55645..113410
..64..86.111..361..621.1563..2853..7306.12963..33522..61775..157788..293072
.128.179.265..865.1451.3948..6870.19993.32005.100147.163475..531350..820788
.256.370.527.1970.3189.9405.15489.50691.75825.282597.409385.1667452.2263018
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..720
FORMULA
Empirical for column k:
k=1: a(n) = 2*a(n-1)
k=2: a(n) = 2*a(n-1) +a(n-2) -a(n-3) -2*a(n-4) +a(n-5)
k=3: a(n) = a(n-1) +8*a(n-3) -6*a(n-4) -4*a(n-6) +4*a(n-7) for n>11
k=4: [order 15] for n>19
k=5: [order 12] for n>15
k=6: [order 15] for n>26
k=7: [order 27] for n>39
Empirical for row n:
n=1: a(n) = a(n-1) +a(n-2)
n=2: a(n) = a(n-1) +16*a(n-4) -8*a(n-5) for n>6
n=3: a(n) = a(n-1) +a(n-2) -a(n-3) +2*a(n-4) for n>6
n=4: [order 22] for n>23
n=5: [order 36] for n>40
n=6: [order 35] for n>45
n=7: [order 80] for n>89
EXAMPLE
Some solutions for n=5 k=4
..0..1..1..0. .0..1..0..1. .0..1..0..1. .0..0..1..1. .0..1..1..0
..0..1..0..1. .0..1..0..1. .1..0..0..1. .0..1..0..1. .0..1..0..1
..0..1..0..1. .0..1..0..1. .1..0..1..0. .0..1..0..1. .0..1..0..1
..0..1..0..0. .0..1..0..1. .1..0..1..0. .0..1..1..0. .1..1..0..0
..0..1..0..1. .1..0..0..1. .1..0..1..0. .1..0..1..0. .0..1..0..1
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Apr 02 2018
STATUS
approved