OFFSET
1,1
COMMENTS
Table starts
...2....3......5........8........13..........21...........34.............55
...4....8.....25.......57.......156.........384.........1009...........2545
...8...19.....92......285......1143........3933........14817..........52868
..16...48....390.....1677.....10579.......52714.......303202........1595942
..32..120...1652.....9774.....97005......693884......6088511.......46944276
..64..299...6888....55713....862112.....8800153....116817805.....1310421193
.128..747..28971...321030...7800563...113851142...2300975096....37653648610
.256.1865.121854..1848151..70510494..1469935404..45221328552..1078420953679
.512.4656.512165.10625522.636242985.18934230754.886373249313.30786030956559
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..312
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) -a(n-4)
k=3: a(n) = 5*a(n-1) -3*a(n-2) +4*a(n-3) -25*a(n-4) +10*a(n-5) -7*a(n-6) +12*a(n-7)
k=4: [order 11]
k=5: [order 27]
k=6: [order 55]
Empirical for row n:
n=1: a(n) = a(n-1) +a(n-2)
n=2: a(n) = a(n-1) +3*a(n-2) +a(n-3) +4*a(n-4)
n=3: a(n) = 3*a(n-1) +4*a(n-2) -7*a(n-3) +8*a(n-4) -19*a(n-5) +8*a(n-6) +2*a(n-8)
n=4: [order 15]
n=5: [order 33]
n=6: [order 72]
EXAMPLE
Some solutions for n=5 k=4
..0..0..1..0. .0..0..0..0. .0..0..1..0. .1..0..0..0. .1..0..0..0
..0..0..0..0. .1..0..0..1. .0..0..0..0. .1..0..0..0. .1..0..0..1
..0..0..0..1. .1..0..0..0. .0..0..0..0. .1..0..0..0. .1..0..0..0
..0..0..0..1. .0..0..0..1. .0..0..1..1. .1..0..0..0. .0..0..1..0
..0..0..0..0. .0..1..0..0. .0..1..1..0. .0..0..0..0. .0..1..1..1
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 30 2017
STATUS
approved