OFFSET
1,2
COMMENTS
Table starts
...1....2....4....8...16...32...64..128..256...512..1024..2048...4096...8192
...2....8...21...49..120..293..719.1774.4389.10893.27096.67529.168555.421238
...4...21...23...46...77..151..294..549.1051..2032..3877..7421..14262..27333
...8...49...46...84..133..221..406..743.1327..2396..4385..8003..14556..26527
..16..120...77..133..219..345..564..974.1715..2992..5222..9175..16164..28488
..32..293..151..221..345..569..894.1402.2341..3998..6796.11609..19890..34076
..64..719..294..406..564..894.1476.2252.3461..5631..9362.15569..26111..43960
.128.1774..549..743..974.1402.2252.3614.5457..8261.13120.21359..34963..57728
.256.4389.1051.1327.1715.2341.3461.5457.8730.13090.19529.30490..48864..78903
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..967
FORMULA
Empirical for column k:
k=1: a(n) = 2*a(n-1)
k=2: a(n) = 3*a(n-1) +a(n-2) -4*a(n-3) -4*a(n-4) for n>5
k=3: a(n) = 2*a(n-1) +a(n-3) -2*a(n-4) -2*a(n-5) +2*a(n-6) for n>9
k=4: a(n) = a(n-1) +a(n-2) +a(n-3) +a(n-4) -a(n-5) -2*a(n-6) for n>8
k=5: a(n) = 2*a(n-1) -a(n-4) -a(n-6) -a(n-7) +2*a(n-8) for n>12
k=6: a(n) = 2*a(n-1) -a(n-4) -a(n-5) +a(n-6) -a(n-7) -a(n-8) +2*a(n-9) for n>15
k=7: a(n) = 2*a(n-1) -a(n-4) -a(n-5) +a(n-7) -a(n-8) -a(n-9) +2*a(n-10) for n>18
EXAMPLE
Some solutions for n=5 k=4
..0..1..1..1. .0..0..0..0. .0..0..0..1. .0..1..0..0. .0..0..0..0
..1..1..1..1. .1..1..1..1. .0..0..0..1. .1..1..1..0. .1..0..0..0
..1..1..1..1. .1..1..1..1. .0..0..0..1. .1..1..1..1. .1..1..0..0
..1..1..1..1. .1..1..1..1. .0..0..0..1. .1..1..1..1. .1..1..1..0
..0..1..1..0. .1..1..1..0. .1..0..0..1. .0..1..1..0. .0..1..1..1
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Apr 29 2018
STATUS
approved