OFFSET
1,5
COMMENTS
Table starts
.0....1...1....2......3.......5.........8.........13..........21............34
.0....2...2....8.....18......50.......128........338.........882..........2312
.0....5...4...25.....74.....278.......968.......3450.......12210.........43316
.0...13...8...68....299....1351......6653......30441......146175........682879
.0...34..16..177...1197....6501.....47363.....284691.....1896274......11958940
.0...89..32..457...4785...31061....333335....2626219....23877827.....205351902
.0..233..64.1183..19130..147954...2341241...24102055...298497818....3505205058
.0..610.128.3075..76499..705180..16471479..221373169..3746076847...60097022948
.0.1597.256.8018.305959.3364845.115975709.2034255683.47059520355.1030456894273
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..416
FORMULA
Empirical for column k:
k=1: a(n) = a(n-1)
k=2: a(n) = 3*a(n-1) -a(n-2)
k=3: a(n) = 2*a(n-1)
k=4: a(n) = 6*a(n-1) -13*a(n-2) +13*a(n-3) -6*a(n-4) +a(n-5)
k=5: a(n) = 8*a(n-1) -22*a(n-2) +28*a(n-3) -17*a(n-4) +4*a(n-5) for n>7
k=6: [order 16] for n>17
k=7: [order 26] for n>28
Empirical for row n:
n=1: a(n) = a(n-1) +a(n-2)
n=2: a(n) = 2*a(n-1) +2*a(n-2) -a(n-3)
n=3: [order 14] for n>18
n=4: [order 66] for n>72
EXAMPLE
Some solutions for n=5 k=4
..0..0..0..0. .0..0..0..0. .0..0..1..0. .0..0..1..1. .0..0..0..0
..1..1..1..1. .1..1..0..0. .0..1..0..1. .0..1..0..0. .1..1..0..1
..0..0..1..0. .1..1..1..1. .1..0..1..1. .1..1..0..0. .1..0..1..0
..0..1..0..1. .0..0..1..1. .0..0..0..0. .1..1..0..0. .0..1..0..1
..0..0..1..1. .0..0..1..1. .1..1..1..1. .1..1..0..0. .0..0..1..1
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Mar 27 2018
STATUS
approved