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A320215 Number of multisets of nonempty words with a total of n letters over quinary alphabet such that all letters occur at least once in the multiset. 3
501, 10310, 129485, 1285815, 11117600, 87804401, 651039050, 4610303390, 31536998095, 210038354645, 1369653353001, 8781196628665, 55523386000940, 347061871472795, 2148545319437735, 13192142317933416, 80429793804860995, 487358723056001905, 2937204731254087895 (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

b:= proc(n, k) option remember; `if`(n=0, 1, add(add(

      d*k^d, d=numtheory[divisors](j))*b(n-j, k), j=1..n)/n)

    end:

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

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

CROSSREFS

Column k=5 of A257740.

Cf. A320206.

Sequence in context: A279275 A097425 A320206 * A233429 A121577 A250609

Adjacent sequences:  A320212 A320213 A320214 * A320216 A320217 A320218

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.)