A249960 T(n,k)=Number of length n+5 0..k arrays with no six consecutive terms having the maximum of any two terms equal to the minimum of the remaining four terms

15, 285, 15, 2010, 505, 15, 8790, 5300, 897, 15, 28785, 31180, 14094, 1593, 15, 77595, 129095, 111746, 37584, 2825, 15, 181860, 422065, 585069, 402010, 100236, 4999, 15, 383580, 1164800, 2319123, 2662039, 1447334, 267004, 8823, 15, 745155, 2830080

Offset

1,1

Comments

Table starts

.15...285.....2010......8790.......28785........77595........181860

.15...505.....5300.....31180......129095.......422065.......1164800

.15...897....14094....111746......585069......2319123.......7532380

.15..1593....37584....402010.....2662039.....12791191......48882360

.15..2825...100236...1447334....12123567.....70617807.....317518832

.15..4999...267004...5207128....55191061....389769865....2062131616

.15..8823...709814..18707320...251002319...2149795141...13385651492

.15.15918..1911823..67741331..1147421312..11899842997...87116453114

.15.28655..5149630.245362806..5246484791..65881899243..567055137628

.15.51435.13856525.888353351.23984087410.364700648588.3690747006754

Links

R. H. Hardin, Table of n, a(n) for n = 1..873

Formula

Empirical for column k:

k=1: a(n) = a(n-1)

k=2: [order 66]

Empirical for row n:

n=1: a(n) = n^6 + 3*n^5 + 5*n^4 + 5*n^3 + (3/2)*n^2 - (1/2)*n

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 12]

Example

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

Crossrefs

Sequence in context: A060542 A095654 A279167 * A249961 A177074 A069405

Adjacent sequences: A249957 A249958 A249959 * A249961 A249962 A249963

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 09 2014

Status

approved