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A320206 Number of sets of nonempty words with a total of n letters over quinary alphabet such that all letters occur at least once in the set. 3
501, 9945, 121710, 1185360, 10096795, 78808600, 578849355, 4067705855, 27649153955, 183168119565, 1189058740200, 7593928600995, 47855567247145, 298255270385350, 1841612720379730, 11281413505991390, 68637389125392080, 415119249476398580, 2497526622600665470 (list; graph; refs; listen; history; text; internal format)
OFFSET

5,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 5..1000

MAPLE

h:= proc(n, i, k) option remember; `if`(n=0, 1, `if`(i<1, 0,

      add(h(n-i*j, i-1, k)*binomial(k^i, j), j=0..n/i)))

    end:

a:= n-> (k-> add((-1)^i*binomial(k, i)*h(n$2, k-i), i=0..k))(5):

seq(a(n), n=5..25);

CROSSREFS

Column k=5 of A319501.

Cf. A320215.

Sequence in context: A239046 A279275 A097425 * A320215 A233429 A121577

Adjacent sequences:  A320203 A320204 A320205 * A320207 A320208 A320209

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Oct 07 2018

STATUS

approved

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Last modified August 10 00:32 EDT 2022. Contains 356026 sequences. (Running on oeis4.)