OFFSET
1,2
COMMENTS
Table starts
...1..2..3...5....8...13....21.....34......55.......89......144.......233
...2..3..3...5....7...13....23.....37......63......109......183.......309
...4..4..8..12...18...40....94....184.....358......760.....1594......3220
...8..6..7..20...30...76...217....509....1189.....3034.....7569.....18274
..16..9.11..33...63..187...661...1837....5075....15661....46975....135191
..32.14.18..64..125..453..2013...6725...21745....80985...295335...1015113
..64.22.29.121..257.1125..6311..25139...96728...439233..1942666...8017639
.128.35.47.231..528.2782.19497..92889..422915..2330640.12480973..61679118
.256.56.76.440.1085.6843.60253.343421.1847358.12346637.80210343.474618407
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..799
FORMULA
Empirical for column k:
k=1: a(n) = 2*a(n-1)
k=2: a(n) = 2*a(n-1) -a(n-3)
k=3: a(n) = a(n-1) +a(n-2) for n>5
k=4: a(n) = a(n-1) +2*a(n-2) -a(n-4) for n>8
k=5: a(n) = a(n-1) +3*a(n-3) +2*a(n-4) +2*a(n-5) for n>10
k=6: a(n) = a(n-1) +2*a(n-2) +4*a(n-3) +a(n-4) -2*a(n-5) -a(n-6) for n>12
k=7: [order 12] for n>19
Empirical for row n:
n=1: a(n) = a(n-1) +a(n-2)
n=2: a(n) = a(n-1) +2*a(n-3) for n>5
n=3: a(n) = a(n-1) +3*a(n-3) +3*a(n-4) for n>7
n=4: a(n) = a(n-1) +a(n-2) +5*a(n-3) +5*a(n-4) -3*a(n-5) -3*a(n-6) +2*a(n-7) for n>11
n=5: [order 11] for n>16
n=6: [order 17] for n>23
n=7: [order 31] for n>38
EXAMPLE
Some solutions for n=5 k=4
..0..1..1..1. .0..1..0..1. .0..0..0..1. .0..1..1..1. .0..0..0..1
..0..1..0..1. .0..1..0..1. .0..1..0..1. .0..1..0..1. .0..1..0..1
..0..1..0..1. .0..0..1..1. .0..1..1..1. .0..1..0..1. .0..1..0..1
..0..1..0..1. .1..1..0..0. .0..1..0..1. .0..1..0..1. .0..1..0..1
..0..0..0..1. .1..0..1..0. .0..1..0..1. .0..1..0..1. .0..1..0..1
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Apr 11 2018
STATUS
approved