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

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

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

R. H. Hardin, Table of n, a(n) for n = 1..507

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

Adjacent sequences: A250056 A250057 A250058 * A250060 A250061 A250062

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 11 2014

Status

approved