OFFSET
1,1
COMMENTS
Table starts
....2.....4.......7........13..........23...........41.............72
....4....11......27........76.........185..........489...........1204
....8....32.....123.......521........1887.........7477..........27042
...16....89.....537......3288.......17713.......102545.........542112
...32...244....2343.....20400......165607......1383105.......10778640
...64...659...10167....123976.....1529241.....18220241......210476400
..128..1760...43959....742688....14011359....236272677.....4064720816
..256..4657..189465...4397376...127528641...3024972401....77785162880
..512.12228..814359..25791040..1154377943..38333973609..1477636398784
.1024.31899.3491691.150081504.10400164377.481701017577.27897108860960
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..721
FORMULA
Empirical for column k:
k=1: a(n) = 2*a(n-1)
k=2: a(n) = 4*a(n-1) -2*a(n-2) -4*a(n-3) -a(n-4)
k=3: a(n) = 10*a(n-1) -31*a(n-2) +24*a(n-3) +21*a(n-4) -18*a(n-5) -9*a(n-6)
k=4: a(n) = 12*a(n-1) -40*a(n-2) +8*a(n-3) +92*a(n-4) -32*a(n-5) -64*a(n-6) for n>7
k=5: [order 12]
k=6: [order 14]
k=7: [order 24] for n>25
Empirical for row n:
n=1: a(n) = 2*a(n-1) +a(n-2) -2*a(n-3) -a(n-4)
n=2: a(n) = 2*a(n-1) +5*a(n-2) -6*a(n-3) -9*a(n-4)
n=3: a(n) = 4*a(n-1) +8*a(n-2) -34*a(n-3) -16*a(n-4) +60*a(n-5) -25*a(n-6)
n=4: [order 8]
n=5: [order 14]
EXAMPLE
Some solutions for n=4 k=4
..1..0..0..0. .0..1..1..0. .1..0..0..1. .0..0..0..1. .0..1..0..1
..0..0..0..0. .0..0..0..0. .1..0..1..0. .0..0..0..1. .0..1..0..1
..1..0..0..0. .1..0..0..1. .1..0..0..0. .0..0..0..0. .1..0..0..0
..0..0..0..1. .1..0..0..1. .0..0..0..0. .1..0..1..0. .0..0..0..1
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Feb 19 2016
STATUS
approved