A250373 T(n,k)=Number of length n+6 0..k arrays with every seven consecutive terms having the maximum of some three terms equal to the minimum of the remaining four terms

93, 1382, 151, 8964, 3096, 252, 37385, 24566, 7168, 424, 118621, 119235, 69984, 16798, 714, 312578, 428421, 396745, 202184, 39471, 1198, 720112, 1256106, 1616636, 1340867, 584904, 92497, 1996, 1498569, 3179756, 5272892, 6202712, 4530981

Offset

1,1

Comments

Table starts

...93....1382......8964......37385......118621.......312578.......720112

..151....3096.....24566.....119235......428421......1256106......3179756

..252....7168.....69984.....396745.....1616636......5272892.....14647808

..424...16798....202184....1340867.....6202712.....22517208.....68640720

..714...39471....584904....4530981....23761098.....95876627....320301600

.1198...92497...1680652...15139945....89632970....400455241...1460936344

.1996..215345...4766064...49559017...328905292...1616234585...6398378176

.3292..496659..13262440..157464877..1159359444...6203069791..26383796944

.5464.1156281..37406584..510276209..4200082656..24676972585.113797974816

.9138.2712668.106733108.1679222839.15510937222.100433289066.503805257096

Links

R. H. Hardin, Table of n, a(n) for n = 1..1963

Formula

Empirical for column k:

k=1: [linear recurrence of order 56]

Empirical for row n:

n=1: [polynomial of degree 6]

n=2: [polynomial of degree 7]

n=3: [polynomial of degree 8]

n=4: [polynomial of degree 9]

n=5: [polynomial of degree 10]

n=6: [polynomial of degree 11]

n=7: [polynomial of degree 11]

Example

Some solutions for n=3 k=4
..1....0....1....0....1....0....0....1....1....1....0....0....0....1....0....0
..1....2....1....4....1....3....2....0....1....1....2....2....2....1....0....2
..2....1....4....2....3....4....1....4....0....3....1....1....1....0....2....4
..2....1....2....0....1....0....2....0....1....1....1....1....2....2....3....2
..1....3....4....2....3....1....1....0....2....2....3....4....3....3....0....2
..0....0....3....3....0....4....0....4....4....1....2....1....3....1....0....1
..0....3....2....4....1....1....2....0....0....0....1....0....2....4....0....2
..1....0....1....1....0....1....1....0....1....1....0....3....2....1....0....0
..1....1....0....2....4....2....0....3....4....0....2....2....4....1....2....3

Crossrefs

Sequence in context: A160250 A332614 A264556 * A250374 A146125 A353002

Adjacent sequences: A250370 A250371 A250372 * A250374 A250375 A250376

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 19 2014

Status

approved