OFFSET
1,3
COMMENTS
Table starts
...1.....1.......1........1..........1...........1.............1..............1
...2.....3.......4........6..........9..........14............22.............35
...4....11......20.......46.........97.........216...........472...........1043
...8....34......97......305........959........3033..........9581..........30354
..16...111.....459.....2167......10150.......47920........226532........1071982
..32...361....2187....15332.....106411......746346.......5228820.......36701371
..64..1172...10442...108509....1120383....11677893.....121621207.....1269199948
.128..3809...49861...767834...11791412...182610635....2827515311....43857418181
.256.12377..238068..5434887..124095989..2856212777...65742420202..1515928067679
.512.40218.1136678.38467875.1306056075.44672652785.1528546759636.52397680462958
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..264
FORMULA
Empirical for column k:
k=1: a(n) = 2*a(n-1)
k=2: a(n) = 3*a(n-1) +a(n-2) -2*a(n-4)
k=3: a(n) = 5*a(n-1) -a(n-2) -a(n-3) +4*a(n-4) -4*a(n-5) -3*a(n-6) +a(n-7)
k=4: [order 22]
k=5: [order 54]
Empirical for row n:
n=1: a(n) = a(n-1)
n=2: a(n) = 2*a(n-1) -a(n-3)
n=3: a(n) = 2*a(n-1) +a(n-2) -a(n-3) -a(n-5)
n=4: [order 15]
n=5: [order 30] for n>34
n=6: [order 94]
EXAMPLE
Some solutions for n=4 k=4
..0..1..0..1....0..1..0..1....0..1..0..1....0..1..1..0....0..1..1..0
..1..0..1..0....0..0..1..0....0..1..1..0....1..1..1..0....0..1..1..1
..0..0..1..0....1..0..1..1....1..1..1..0....1..1..1..0....1..0..1..1
..0..1..0..1....1..0..1..1....1..1..0..1....0..1..0..1....1..0..1..1
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Apr 12 2014
STATUS
approved