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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
14
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 07 2014
STATUS
approved