OFFSET
1,2
COMMENTS
Table starts
.1....2......3.......4........6..........9...........13............19
.1....5.....17......33.......65........193..........529..........1185
.1...11.....49.....128......363.......1408.........5079.........16104
.1...24....177.....624.....2610......15896........85843........402072
.1...55....727....3383....19187.....193087......1671315......11283382
.1..123...2445...16173...134123....1995817.....25184119.....253060180
.1..276...8931...80436...956810...22251457....424461759....6257746155
.1..621..33841..406779..6834267..249462938...7287075949..156485261895
.1.1395.120079.2013490.48617437.2728125667.119542912709.3789277002360
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..241
FORMULA
Empirical for column k:
k=1: a(n) = a(n-1)
k=2: a(n) = a(n-1) +2*a(n-2) +2*a(n-3) -a(n-5)
k=3: a(n) = a(n-1) +2*a(n-2) +30*a(n-3) +6*a(n-5) -124*a(n-6) -8*a(n-8) +64*a(n-9)
k=4: [order 32]
k=5: [order 54]
Empirical for row n:
n=1: a(n) = a(n-1) +a(n-3)
n=2: a(n) = a(n-1) +4*a(n-3) +12*a(n-4)
n=3: [order 12]
n=4: [order 31]
n=5: [order 87]
EXAMPLE
Some solutions for n=5 k=4
..0..1..1..0. .0..1..1..0. .1..0..0..0. .1..1..1..0. .0..0..0..1
..0..1..0..1. .0..0..0..0. .0..1..0..0. .0..0..1..0. .0..1..1..1
..0..0..0..1. .0..0..0..0. .0..0..0..0. .1..1..0..1. .0..0..0..0
..1..0..1..0. .0..1..1..1. .0..1..0..0. .1..0..0..0. .0..1..1..0
..1..1..0..1. .0..0..0..1. .0..0..1..0. .0..0..1..1. .0..1..0..1
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 31 2017
STATUS
approved