OFFSET
1,2
COMMENTS
Table starts
.1...2.....3......4.......6.........9.........13..........19............28
.1...5....11.....17......39........93........183.........373...........823
.1...9....36.....72.....188.......688.......2085........5497.........16037
.1..20...102....254....1017......5263......20771.......76340........320326
.1..41...370...1104....5800.....47968.....284289.....1400065.......8274627
.1..85..1243...4428...31171....395011....3355439....21941552.....181405030
.1.178..3854..17549..171543...3230902...38609160...348140132....4059598106
.1.369.13078..71541..945046..27481626..476513137..5752782514...94310855136
.1.769.43861.288624.5175491.229676841.5731862594.92802629660.2136636243308
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..311
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) +19*a(n-3) +4*a(n-4) -17*a(n-5) -8*a(n-6)
k=4: [order 16]
k=5: [order 30]
k=6: [order 57]
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) +2*a(n-4)
n=3: a(n) = a(n-1) +a(n-2) +8*a(n-3) +18*a(n-4) +a(n-5) -11*a(n-6) -12*a(n-7) -a(n-8)
n=4: [order 17]
n=5: [order 41]
n=6: [order 94]
EXAMPLE
Some solutions for n=5 k=4
..1..1..0..0. .0..0..0..0. .0..1..0..0. .0..1..0..1. .0..1..1..0
..0..0..0..0. .0..0..1..0. .1..0..0..0. .0..1..1..0. .0..0..0..0
..0..0..1..0. .1..1..1..0. .1..0..0..0. .0..1..0..0. .0..1..0..0
..0..0..0..1. .1..0..0..0. .0..1..0..0. .0..0..0..1. .0..0..1..0
..0..0..0..0. .0..0..1..1. .0..0..0..0. .0..0..1..0. .0..0..0..0
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 01 2018
STATUS
approved