OFFSET
1,8
COMMENTS
Table starts
.1.1..1...1....1.....1......1.......1........1.........1..........1...........1
.1.1..2...3....4.....6......9......13.......19........28.........41..........60
.1.1..3...5....9....17.....32......60......113.......213........401.........755
.1.1..5..10...21....50....130.....332......840......2128.......5408.......13772
.1.1..8..19...49...157....600....2161.....7479.....25639......88307......306281
.1.1.13..36..114...495...2816...14138....64406....288079....1310914.....6040052
.1.1.21..69..266..1574..13504...93906...551477...3159693...18792129...113862870
.1.1.34.131..620..5031..65521..629563..4738693..34652662..269300602..2142898994
.1.1.55.250.1446.16123.319835.4235806.40753529.379882818.3857849537.40317718384
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..680
FORMULA
Empirical for column k:
k=1: a(n) = a(n-1)
k=2: a(n) = a(n-1)
k=3: a(n) = a(n-1) +a(n-2)
k=4: a(n) = a(n-1) +2*a(n-2) -a(n-4)
k=5: a(n) = 2*a(n-1) +2*a(n-2) -2*a(n-3) -2*a(n-4) for n>5
k=6: a(n) = 4*a(n-1) -8*a(n-3) -2*a(n-4) +4*a(n-5) +4*a(n-6) +a(n-7) -a(n-8)
k=7: [order 12] for n>14
Empirical for row n:
n=1: a(n) = a(n-1)
n=2: a(n) = a(n-1) +a(n-3)
n=3: a(n) = 2*a(n-1) -a(n-2) +2*a(n-3) -a(n-4) for n>6
n=4: [order 13] for n>16
n=5: [order 32] for n>37
n=6: [order 68] for n>76
EXAMPLE
Some solutions for n=5 k=4
..0..0..1..1. .0..0..0..0. .0..0..0..0. .0..0..1..1. .0..1..1..0
..0..1..1..0. .0..0..0..0. .0..0..0..0. .0..1..1..0. .1..1..0..0
..0..0..0..0. .0..0..1..1. .0..0..0..0. .0..0..1..1. .0..0..0..0
..0..0..1..1. .0..1..1..0. .0..1..1..0. .0..1..1..0. .0..1..1..0
..0..1..1..0. .0..0..0..0. .1..1..0..0. .0..0..0..0. .1..1..0..0
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 27 2017
STATUS
approved