OFFSET
1,2
COMMENTS
Table starts
...1...2....3....5.....8.....13.....21......34.......55.......89.......144
...2...3....9...17....25.....65....185.....385......649.....1489......3929
...4...6....8...14....25.....47.....83.....150......269......488.......876
...8..10...19...33....65....149....304.....643.....1343.....2880......6038
..16..21...42..101...257....691...1734....4502....11524....30121.....77399
..32..42...82..248...719...2262...6460...19799....59002...179668....535412
..64..86..189..657..2303...8981..30216..112431...408512..1512824...5441957
.128.179..469.1841..7695..35772.144266..652931..2863575.12800635..55765517
.256.370.1029.4892.24205.135125.642553.3499587.18446157.98898783.515558643
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..391
FORMULA
Empirical for column k:
k=1: a(n) = 2*a(n-1)
k=2: a(n) = 2*a(n-1) +a(n-2) -a(n-3) -2*a(n-4) +a(n-5)
k=3: a(n) = a(n-1) +9*a(n-3) -4*a(n-4) +2*a(n-5) -10*a(n-6) +4*a(n-7) +4*a(n-9) for n>13
k=4: [order 21] for n>25
k=5: [order 29] for n>32
k=6: [order 54] for n>65
Empirical for row n:
n=1: a(n) = a(n-1) +a(n-2)
n=2: a(n) = a(n-1) +16*a(n-4) -8*a(n-5) for n>6
n=3: a(n) = a(n-1) +a(n-2) +2*a(n-4) -a(n-5) for n>7
n=4: [order 22] for n>23
n=5: [order 63] for n>64
n=6: [order 81] for n>86
EXAMPLE
Some solutions for n=5 k=4
..0..0..1..0. .0..1..0..1. .0..1..0..1. .0..0..1..1. .0..1..0..1
..1..1..1..0. .0..1..0..1. .0..1..0..0. .0..1..0..1. .0..0..0..1
..0..0..0..0. .0..1..1..1. .0..1..0..1. .0..1..0..1. .0..1..0..1
..0..1..1..1. .0..1..0..1. .0..0..1..0. .0..1..0..1. .0..1..0..1
..0..1..0..0. .0..1..0..1. .1..1..1..0. .0..0..1..1. .0..1..1..0
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Apr 10 2018
STATUS
approved