login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A250059 T(n,k)=Number of length n+6 0..k arrays with no seven consecutive terms having the maximum of any two terms equal to the minimum of the remaining five terms 14
21, 735, 21, 7224, 1299, 21, 40320, 18966, 2292, 21, 160545, 142170, 50028, 4030, 21, 509691, 715155, 505154, 132054, 7054, 21, 1375080, 2753061, 3213429, 1800040, 348066, 12284, 21, 3281544, 8746524, 15002490, 14492075, 6415638, 915064, 21276 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
.21....735.....7224......40320.......160545........509691........1375080
.21...1299....18966.....142170.......715155.......2753061........8746524
.21...2292....50028.....505154......3213429......15002490.......56118016
.21...4030...132054....1800040.....14492075......82072086......361440380
.21...7054...348066....6415638.....65419155.....449532868.....2330996068
.21..12284...915064...22838540....295152625....2461761504....15032948568
.21..21276..2398187...81138873...1329866076...13468748489....96884873906
.21..36654..6264519..287576973...5981519744...73595233759...623803084898
.21..65647.16780283.1035133361..27178700296..404992490768..4037252105050
.21.117118.44934437.3726902703.123528843942.2229198191613.26134202969838
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = a(n-1)
k=2: [linear recurrence of order 98]
Empirical for row n:
n=1: a(n) = n^7 + (7/2)*n^6 + 7*n^5 + (35/4)*n^4 + (7/2)*n^3 - (7/4)*n^2 - n
n=2: [polynomial of degree 8]
n=3: [polynomial of degree 9]
n=4: [polynomial of degree 10]
n=5: [polynomial of degree 11]
n=6: [polynomial of degree 12]
n=7: [polynomial of degree 13]
EXAMPLE
Some solutions for n=3 k=4
..1....1....1....0....1....1....0....0....1....1....0....0....0....0....0....1
..0....0....0....0....0....1....0....4....3....0....2....4....2....4....1....1
..1....2....0....3....4....4....3....0....1....2....4....0....0....0....1....4
..2....3....3....4....3....2....4....3....4....3....4....4....3....2....2....3
..1....0....1....1....2....4....4....1....0....2....4....3....1....3....0....2
..4....1....2....3....3....2....3....3....2....2....1....2....2....4....1....3
..0....4....2....2....3....3....1....3....0....2....3....4....2....4....1....2
..4....4....2....3....0....0....4....2....2....0....4....3....4....4....0....0
..0....4....2....1....0....0....2....3....4....1....4....0....3....4....4....1
CROSSREFS
Sequence in context: A012479 A317824 A297504 * A250060 A078791 A201069
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 11 2014
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 29 03:41 EDT 2024. Contains 371264 sequences. (Running on oeis4.)