|
|
A244702
|
|
T(n,k)=Number of length n+4 0..k arrays with no five consecutive elements with pattern ababa or abbba (with a!=b) and new values 0..k introduced in 0..k order
|
|
10
|
|
|
14, 39, 25, 49, 111, 44, 50, 176, 317, 79, 50, 191, 661, 908, 141, 50, 192, 801, 2540, 2602, 253, 50, 192, 822, 3582, 9858, 7459, 452, 50, 192, 823, 3848, 16673, 38440, 21383, 809, 50, 192, 823, 3876, 19309, 79535, 150208, 61302, 1446, 50, 192, 823, 3877
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
Table starts
...14.....39......49.......50........50........50........50........50........50
...25....111.....176......191.......192.......192.......192.......192.......192
...44....317.....661......801.......822.......823.......823.......823.......823
...79....908....2540.....3582......3848......3876......3877......3877......3877
..141...2602....9858....16673.....19309.....19771.....19807.....19808.....19808
..253...7459...38440....79535....102127....107995....108745....108790....108791
..452..21383..150208...384984....561161....624776....636642....637797....637852
..809..61302..587527..1879575...3166917...3787558...3946032...3968291...3969996
.1446.175745.2299087..9222654..18201193..23822643..25709683..26068401..26107708
.2587.503841.8998528.45385845.105893207.154111782.174808033.179921359.180673040
|
|
LINKS
|
|
|
FORMULA
|
Empirical for column k:
k=1: a(n) = a(n-1) +a(n-2) +a(n-4) +a(n-6)
k=2: a(n) = 3*a(n-1) -a(n-3) -a(n-5) +a(n-6) -a(n-7)
k=3: [order 13]
k=4: [order 19]
k=5: [order 25]
k=6: [order 31]
k=7: [order 37]
k=8: [order 43]
k=9: [order 49]
|
|
EXAMPLE
|
Some solutions for n=6 k=4
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..1....1....1....0....0....1....1....1....1....1....1....1....1....1....1....1
..2....1....2....0....0....2....0....2....0....0....1....2....1....2....2....0
..1....0....2....0....1....1....2....3....1....2....2....3....2....1....3....2
..1....2....0....1....2....2....1....0....1....1....3....3....2....0....4....1
..0....3....3....2....3....0....3....3....2....0....3....0....3....2....0....0
..3....4....3....1....2....3....3....0....3....3....3....4....4....2....0....3
..2....0....1....2....2....4....4....0....4....2....4....0....1....0....4....4
..4....0....3....2....1....0....0....0....4....3....4....1....0....1....3....2
..0....1....2....1....1....0....4....1....0....1....2....0....2....0....2....0
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|