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A267236 Number of length-7 0..n arrays with no following elements greater than or equal to the first repeated value. 1
9, 479, 5646, 34396, 143695, 469623, 1291052, 3121008, 6830757, 13811655, 26179802, 47028540, 80733835, 133317583, 212873880, 330063296, 498680193, 736298127, 1064998374, 1512186620, 2111502855, 2903829511, 3938402884 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = n^7 + (69/20)*n^6 + (7/2)*n^5 + (7/6)*n^4 - (7/60)*n^2.
Conjectures from Colin Barker, Jan 10 2019: (Start)
G.f.: x*(9 + 407*x + 2066*x^2 + 2136*x^3 + 421*x^4 + x^5) / (1 - x)^8.
a(n) = 8*a(n-1) - 28*a(n-2) + 56*a(n-3) - 70*a(n-4) + 56*a(n-5) - 28*a(n-6) + 8*a(n-7) - a(n-8) for n>8.
(End)
EXAMPLE
Some solutions for n=5:
..3....0....1....1....0....1....0....4....1....5....1....0....1....4....1....3
..1....3....5....3....5....2....4....3....0....3....5....2....5....1....0....0
..0....0....3....4....0....5....3....2....5....5....5....5....5....0....2....4
..1....4....0....1....2....3....2....5....1....3....1....3....4....3....0....5
..4....5....1....3....1....0....4....5....3....1....1....1....4....1....3....5
..5....3....2....4....0....1....3....2....4....3....3....0....2....4....2....2
..2....2....2....3....5....2....1....2....4....1....3....2....0....0....4....3
CROSSREFS
Row 7 of A267232.
Sequence in context: A213447 A128947 A293951 * A357768 A306820 A157595
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 12 2016
STATUS
approved

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Last modified May 29 22:36 EDT 2024. Contains 372954 sequences. (Running on oeis4.)