A249883 T(n,k)=Number of length n+6 0..k arrays with no seven consecutive terms having the maximum of any three terms equal to the minimum of the remaining four terms

35, 805, 35, 7420, 1365, 35, 40740, 18390, 2335, 35, 161315, 136010, 46460, 4019, 35, 510965, 684585, 463880, 118638, 6949, 35, 1377040, 2644815, 2967275, 1599494, 304782, 12053, 35, 3284400, 8435180, 13967995, 12991337, 5545760, 785512, 20942

Offset

1,1

Comments

Table starts

.35....805.....7420......40740......161315........510965........1377040

.35...1365....18390.....136010......684585.......2644815........8435180

.35...2335....46460.....463880.....2967275......13967995.......52655600

.35...4019...118638....1599494....12991337......74439217......331379292

.35...6949...304782....5545760....57148261.....398306829.....2092722780

.35..12053...785512...19280050...251933535....2134932975....13234666552

.35..20942..2027106...67100334..1111583581...11450986236....83742245992

.35..36396..5230332..233536170..4905139755...61427553360...529949953516

.35..63995.13575241..815743709.21698329172..330105978348..3358192453066

.35.112578.35268844.2851383464.96037899299.1774766437056.21288206931304

Links

R. H. Hardin, Table of n, a(n) for n = 1..357

Formula

Empirical for row n:

n=1: [polynomial of degree 7]

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
..0....1....0....0....1....1....0....0....0....0....1....0....1....1....1....1
..1....2....2....2....2....2....0....2....2....0....1....2....0....0....1....2
..4....0....4....2....4....1....3....4....1....3....2....4....3....3....3....0
..1....1....0....0....1....2....3....4....3....4....4....3....3....4....4....4
..3....3....3....2....0....1....4....0....4....0....0....0....0....3....2....3
..4....3....1....3....4....2....0....2....4....4....3....1....0....0....3....0
..3....2....0....0....3....4....1....0....4....2....4....4....4....0....4....0
..0....0....0....0....4....1....0....0....2....0....4....0....2....2....2....1
..0....3....4....4....0....4....0....1....4....1....1....2....4....3....2....4

Crossrefs

Sequence in context: A137309 A028024 A226941 * A249884 A223957 A109508

Adjacent sequences: A249880 A249881 A249882 * A249884 A249885 A249886

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 07 2014

Status

approved