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..4.11..15...21...52...118....220.....408.....852.....1764......3460
...8..6..9..28...36...80...235....541....1115....2554.....6095.....13920
..16..9.14..48...90..199...689...2125....5410...13908....39850....114503
..32.14.21..89..184..458..1784...7182...22544...67096...220654....775150
..64.22.28.163..376.1088..4558..23944...95681..344525..1302832...5550086
.128.35.37.297..832.2651.12324..82857..414880.1775176..7735877..39371229
.256.56.51.544.1744.6257.32336.282857.1748514.8778929.44362463.272701915
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..511
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-4) for n>7
k=4: a(n) = a(n-1) +2*a(n-3) +2*a(n-4) -a(n-6) -a(n-7) for n>10
k=5: a(n) = a(n-1) +6*a(n-3) +2*a(n-5) -12*a(n-6) -4*a(n-7) +8*a(n-9) for n>11
k=6: a(n) = a(n-1) +6*a(n-3) +5*a(n-4) +3*a(n-5) -8*a(n-6) -6*a(n-7) -3*a(n-8) for n>12
k=7: [order 15] for n>21
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) +2*a(n-3) +4*a(n-4) for n>7
n=4: a(n) = a(n-1) +a(n-2) +3*a(n-3) +5*a(n-4) -a(n-5) -5*a(n-6) -4*a(n-7) for n>10
n=5: [order 13] for n>17
n=6: [order 23] for n>29
n=7: [order 50] for n>55
EXAMPLE
Some solutions for n=5 k=4
..0..0..1..0. .0..1..0..1. .0..1..1..1. .0..1..0..1. .0..1..0..1
..1..1..1..0. .0..1..0..1. .0..1..0..1. .0..1..1..1. .0..1..0..1
..1..0..1..0. .0..0..1..1. .0..1..0..1. .0..0..0..1. .0..1..0..1
..1..0..1..0. .1..1..0..0. .0..1..0..1. .0..1..0..1. .0..1..0..1
..1..0..0..0. .1..0..1..0. .0..0..0..1. .0..1..0..1. .0..1..0..1
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Apr 09 2018
STATUS
approved