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A250059
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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
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14
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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
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OFFSET
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1,1
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COMMENTS
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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
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LINKS
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FORMULA
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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]
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EXAMPLE
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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
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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