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A267234 Number of length-5 0..n arrays with no following elements greater than or equal to the first repeated value. 1
7, 103, 564, 1980, 5375, 12327, 25088, 46704, 81135, 133375, 209572, 317148, 464919, 663215, 924000, 1260992, 1689783, 2227959, 2895220, 3713500, 4707087, 5902743, 7329824, 9020400, 11009375, 13334607, 16037028, 19160764, 22753255, 26865375 (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^5 + (37/12)*n^4 + (5/2)*n^3 + (5/12)*n^2.

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

G.f.: x*(7 + 61*x + 51*x^2 + x^3) / (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:

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

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

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

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

..0....4....6....5....5....1....4....6....5....5....6....5....4....4....1....4

CROSSREFS

Row 5 of A267232.

Sequence in context: A140633 A142400 A032460 * A246914 A274670 A188946

Adjacent sequences:  A267231 A267232 A267233 * A267235 A267236 A267237

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 12 2016

STATUS

approved

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Last modified May 6 06:00 EDT 2021. Contains 343580 sequences. (Running on oeis4.)