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A243389 T(n,k)=Number of length n+3 0..k arrays with no four elements in a row with pattern abba (with a!=b) and new values 0..k introduced in 0..k order 8
7, 13, 12, 14, 35, 21, 14, 45, 96, 37, 14, 46, 158, 265, 65, 14, 46, 173, 579, 733, 114, 14, 46, 174, 715, 2165, 2029, 200, 14, 46, 174, 736, 3145, 8173, 5618, 351, 14, 46, 174, 737, 3406, 14384, 30991, 15557, 616, 14, 46, 174, 737, 3434, 16910, 67346, 117755, 43081 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
....7.....13......14......14.......14.......14.......14.......14.......14
...12.....35......45......46.......46.......46.......46.......46.......46
...21.....96.....158.....173......174......174......174......174......174
...37....265.....579.....715......736......737......737......737......737
...65....733....2165....3145.....3406.....3434.....3435.....3435.....3435
..114...2029....8173...14384....16910....17366....17402....17403....17403
..200...5618...30991...67346....88473....94164....94907....94952....94953
..351..15557..117755..319672...480524...541060...552660...553807...553862
..616..43081..447850.1529489..2677917..3257286..3409915..3431794..3433490
.1081.119303.1704019.7351421.15183903.20333069.22122613.22471051.22509836
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = 2*a(n-1) -a(n-2) +a(n-3)
k=2: a(n) = 4*a(n-1) -4*a(n-2) +2*a(n-3) -a(n-4)
k=3: a(n) = 7*a(n-1) -16*a(n-2) +18*a(n-3) -15*a(n-4) +9*a(n-5) -3*a(n-6) +a(n-7)
k=4: [order 10]
k=5: [order 13]
k=6: [order 16]
k=7: [order 19]
EXAMPLE
Some solutions for n=3 k=4
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..1....0....1....1....1....1....0....1....0....1....1....1....1....1....1....1
..2....1....1....2....1....2....1....2....1....0....2....2....1....2....2....0
..3....0....2....3....2....2....1....0....2....1....3....3....1....2....0....2
..2....1....0....4....0....2....1....3....0....2....0....3....2....2....3....1
..4....1....1....0....3....0....2....3....3....2....2....1....0....1....4....1
CROSSREFS
Column 1 is A005251(n+5)
Sequence in context: A114389 A259232 A329017 * A242584 A135555 A243044
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jun 04 2014
STATUS
approved

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Last modified March 28 09:04 EDT 2024. Contains 371240 sequences. (Running on oeis4.)