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A249711 Number of length 5+3 0..n arrays with every four consecutive terms having the maximum of some two terms equal to the minimum of the remaining two terms. 1
38, 377, 1724, 5425, 13666, 29673, 57912, 104289, 176350, 283481, 437108, 650897, 940954, 1326025, 1827696, 2470593, 3282582, 4294969, 5542700, 7064561, 8903378, 11106217, 13724584, 16814625, 20437326, 24658713, 29550052, 35188049, 41655050 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = (5/3)*n^5 + 10*n^4 + 16*n^3 + 8*n^2 + (4/3)*n + 1.
Conjectures from Colin Barker, Nov 10 2018: (Start)
G.f.: x*(38 + 149*x + 32*x^2 - 24*x^3 + 6*x^4 - x^5) / (1 - x)^6.
a(n) = 6*a(n-1) - 15*a(n-2) + 20*a(n-3) - 15*a(n-4) + 6*a(n-5) - a(n-6) for n>6.
(End)
EXAMPLE
Some solutions for n=6:
..0....2....1....1....0....2....5....4....0....5....2....3....0....6....3....4
..1....2....5....5....4....5....2....4....3....2....2....3....2....0....3....2
..5....0....6....6....3....3....3....6....5....6....2....3....2....2....3....1
..1....6....5....5....3....3....3....4....3....5....6....6....4....2....1....2
..0....2....5....5....3....3....5....4....1....5....1....1....2....2....3....2
..1....2....5....5....0....0....3....0....3....5....2....3....2....2....5....2
..6....2....4....4....6....3....2....4....3....3....2....3....1....1....3....3
..1....2....5....6....3....5....3....5....5....5....3....6....6....5....3....1
CROSSREFS
Row 5 of A249707.
Sequence in context: A201244 A240263 A156661 * A220918 A187078 A155193
KEYWORD
nonn
AUTHOR
R. H. Hardin, Nov 04 2014
STATUS
approved

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Last modified March 28 12:26 EDT 2024. Contains 371254 sequences. (Running on oeis4.)