OFFSET
1,2
COMMENTS
Table starts
.1...2.....3......4.......6.........9.........13..........19............28
.1...4.....8.....16......33........69........145.........300...........624
.1...9....24.....57.....182.......535.......1513........4415.........12832
.1..19....68....207.....997......4210......16658.......68769........284867
.1..41...196....751....5570.....33158.....178469.....1051514.......6152761
.1..88...564...2720...30946....261939....1918732....16176806.....134671502
.1.189..1620...9861..171851...2063378...20599895...248421807....2936448567
.1.406..4660..35741..955316..16277793..221333623..3819208252...64142817874
.1.872.13396.129540.5308160.128351805.2377449633.58680928294.1400212345305
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..611
FORMULA
Empirical for column k:
k=1: a(n) = a(n-1)
k=2: a(n) = a(n-1) +2*a(n-2) +a(n-3)
k=3: a(n) = a(n-1) +4*a(n-2) +4*a(n-3)
k=4: a(n) = a(n-1) +6*a(n-2) +11*a(n-3) +6*a(n-4) +a(n-5)
k=5: [order 9]
k=6: [order 11] for n>13
k=7: [order 16] for n>21
Empirical for row n:
n=1: a(n) = a(n-1) +a(n-3)
n=2: a(n) = a(n-1) +a(n-2) +2*a(n-3) +a(n-4) +a(n-5) -a(n-6)
n=3: [order 13]
n=4: [order 27]
n=5: [order 60]
EXAMPLE
Some solutions for n=5 k=4
..0..0..0..0. .0..0..1..1. .0..0..0..0. .0..0..0..0. .0..1..1..0
..0..0..1..0. .0..0..0..0. .0..1..0..0. .0..1..0..0. .0..0..0..0
..0..1..0..0. .0..1..0..0. .1..0..0..0. .1..0..0..0. .0..1..0..0
..0..1..1..0. .1..0..0..1. .0..1..1..0. .0..0..1..1. .1..0..0..0
..0..0..0..0. .0..0..1..0. .0..0..1..1. .0..0..0..0. .0..1..1..0
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 27 2017
STATUS
approved