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A268265 Number of length-(6+1) 0..n arrays with new repeated values introduced in sequential order starting with zero. 1
65, 717, 5492, 29461, 118530, 384605, 1061632, 2587557, 5717246, 11671405, 22326540, 40450997, 69992122, 116419581, 187129880, 291917125, 443515062, 658215437, 956567716, 1364165205, 1912522610, 2640050077, 3593128752 (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^7 + n^6 + 6*n^5 + 5*n^4 + 20*n^3 + 12*n^2 + 20*n + 5 for n>1.

Conjectures from Colin Barker, Jan 13 2019: (Start)

G.f.: x*(65 + 197*x + 1576*x^2 + 1961*x^3 + 1016*x^4 + 271*x^5 - 76*x^6 + 35*x^7 - 5*x^8) / (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>9.

(End)

EXAMPLE

Some solutions for n=5:

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

..4....3....3....4....3....2....3....0....3....0....4....3....0....3....0....3

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

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

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

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

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

CROSSREFS

Row 6 of A268261.

Sequence in context: A224099 A220229 A200890 * A088677 A321562 A034680

Adjacent sequences:  A268262 A268263 A268264 * A268266 A268267 A268268

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 29 2016

STATUS

approved

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Last modified December 13 22:55 EST 2019. Contains 329974 sequences. (Running on oeis4.)