OFFSET
1,2
COMMENTS
Table starts
.1...2.....3.....4.......6........9........13..........19...........28
.1...5.....9....13......33.......69.......121.........253..........529
.1...9....25....49.....145......443......1141........3009.........8455
.1..20....69...154.....752.....3145.....10131.......37929.......150388
.1..41...205...577....3747....23066....103673......514290......2834897
.1..85...597..1977...18577...163704....975485.....6551844.....50398161
.1.178..1701..6962...93150..1172288...9403199....85828150....919035936
.1.369..4949.24441..464697..8419996..90862063..1120526916..16723808887
.1.769.14389.85803.2320289.60354437.875241087.14592832760.303459238317
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..391
FORMULA
Empirical for column k:
k=1: a(n) = a(n-1)
k=2: a(n) = a(n-1) +2*a(n-2) +a(n-3) -a(n-4)
k=3: a(n) = a(n-1) +2*a(n-2) +10*a(n-3) +4*a(n-4) -8*a(n-5) -8*a(n-6)
k=4: [order 9]
k=5: [order 22]
k=6: [order 40]
k=7: [order 83]
Empirical for row n:
n=1: a(n) = a(n-1) +a(n-3)
n=2: a(n) = a(n-1) +4*a(n-3)
n=3: a(n) = a(n-1) +a(n-2) +8*a(n-3) +7*a(n-4) -8*a(n-6) -6*a(n-7)
n=4: [order 12]
n=5: [order 26]
n=6: [order 49]
EXAMPLE
Some solutions for n=6 k=4
..0..0..0..0. .0..1..0..0. .1..0..0..0. .1..0..0..0. .0..0..1..0
..0..1..1..0. .0..0..1..0. .0..1..0..0. .0..1..0..0. .0..1..0..0
..0..0..0..0. .0..0..0..0. .0..1..0..0. .0..0..0..0. .0..0..0..0
..0..1..0..1. .0..0..1..1. .1..0..0..0. .0..0..0..0. .0..0..0..0
..0..1..1..1. .0..0..0..0. .1..0..0..0. .0..0..0..0. .1..0..0..0
..0..0..0..1. .1..1..0..0. .0..1..0..0. .0..0..0..0. .0..1..0..0
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 01 2018
STATUS
approved