OFFSET
1,5
COMMENTS
Table starts
.0.....1.......1..........2............3...............5..................8
.0.....3......15.........46..........161.............601...............2208
.0....11......86........519.........3626...........26167.............185810
.0....34.....587.......6531........87901.........1248691...........17374552
.0...111....3815......80589......2104533........58679318.........1596912288
.0...361...25131.....998670.....50519822......2766909379.......147310312318
.0..1172..164916...12365841...1212025201....130376252119.....13578993819785
.0..3809.1083375..153141597..29081585941...6144174797769...1251888966185979
.0.12377.7114906.1896492042.697771332458.289545909430332.115412264434282781
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..219
FORMULA
Empirical for column k:
k=1: a(n) = a(n-1)
k=2: a(n) = 3*a(n-1) +a(n-2) -2*a(n-4)
k=3: a(n) = 4*a(n-1) +15*a(n-2) +13*a(n-3) -2*a(n-4) -19*a(n-5) -3*a(n-6) +4*a(n-8)
k=4: [order 13]
k=5: [order 43] for n>44
Empirical for row n:
n=1: a(n) = a(n-1) +a(n-2)
n=2: a(n) = 3*a(n-1) +a(n-2) +4*a(n-3) +4*a(n-4) for n>5
n=3: [order 7] for n>9
n=4: [order 24] for n>25
n=5: [order 73] for n>74
EXAMPLE
Some solutions for n=5, k=4
..0..1..1..0. .0..1..1..0. .0..1..0..1. .0..1..0..0. .0..0..0..1
..1..0..0..0. .0..0..0..1. .1..0..1..0. .1..0..1..1. .0..0..1..1
..1..0..0..0. .1..1..1..0. .0..0..0..1. .0..0..1..0. .1..1..0..1
..0..1..1..0. .1..1..0..1. .1..1..1..0. .0..0..0..0. .1..0..1..1
..1..1..0..1. .0..0..1..1. .0..0..1..1. .0..1..1..0. .0..0..0..0
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Apr 16 2018
STATUS
approved