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A267235 Number of length-6 0..n arrays with no following elements greater than or equal to the first repeated value. 1
8, 223, 1790, 8274, 27854, 76237, 180292, 382404, 745548, 1359083, 2345266, 3866486, 6133218, 9412697, 14038312, 20419720, 29053680, 40535607, 55571846, 74992666, 99765974, 131011749, 170017196, 218252620, 277388020, 349310403 (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) = n^6 + (197/60)*n^5 + 3*n^4 + (3/4)*n^3 - (1/30)*n.

Conjectures from Colin Barker, Jan 10 2019: (Start)

G.f.: x*(8 + 167*x + 397*x^2 + 147*x^3 + x^4) / (1 - x)^7.

a(n) = 7*a(n-1) - 21*a(n-2) + 35*a(n-3) - 35*a(n-4) + 21*a(n-5) - 7*a(n-6) + a(n-7) for n>7.

(End)

EXAMPLE

Some solutions for n=6:

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

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

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

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

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

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

CROSSREFS

Row 6 of A267232.

Sequence in context: A300768 A300638 A301360 * A230144 A013377 A214383

Adjacent sequences:  A267232 A267233 A267234 * A267236 A267237 A267238

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 12 2016

STATUS

approved

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Last modified May 17 09:03 EDT 2021. Contains 343969 sequences. (Running on oeis4.)