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A250082 Number of length 1+5 0..n arrays with every six consecutive terms having the maximum of some two terms equal to the minimum of the remaining four terms. 1
49, 444, 2086, 6835, 17871, 40054, 80284, 147861, 254845, 416416, 651234, 981799, 1434811, 2041530, 2838136, 3866089, 5172489, 6810436, 8839390, 11325531, 14342119, 17969854, 22297236, 27420925, 33446101, 40486824, 48666394, 58117711 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = 3*n^5 + 10*n^4 + 15*n^3 + (27/2)*n^2 + (13/2)*n + 1.

Conjectures from Colin Barker, Nov 10 2018: (Start)

G.f.: x*(49 + 150*x + 157*x^2 - 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:

..5....0....3....0....2....3....3....4....3....4....5....6....5....3....1....6

..6....3....1....6....6....0....1....6....5....2....6....5....6....3....5....4

..5....1....1....6....3....6....3....4....5....2....4....2....4....2....1....6

..1....1....2....6....6....0....1....3....3....6....2....4....0....4....1....6

..3....1....6....2....5....3....1....4....5....1....2....6....5....2....2....4

..3....5....0....2....3....0....0....4....3....4....2....4....4....1....3....0

CROSSREFS

Row 1 of A250081.

Sequence in context: A063874 A063132 A250081 * A012097 A218594 A263706

Adjacent sequences:  A250079 A250080 A250081 * A250083 A250084 A250085

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 11 2014

STATUS

approved

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Last modified January 29 14:23 EST 2020. Contains 331338 sequences. (Running on oeis4.)