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A320215
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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.
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3
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501, 10310, 129485, 1285815, 11117600, 87804401, 651039050, 4610303390, 31536998095, 210038354645, 1369653353001, 8781196628665, 55523386000940, 347061871472795, 2148545319437735, 13192142317933416, 80429793804860995, 487358723056001905, 2937204731254087895
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listen;
history;
text;
internal format)
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OFFSET
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5,1
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LINKS
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Alois P. Heinz, Table of n, a(n) for n = 5..1000
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MAPLE
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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);
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CROSSREFS
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Column k=5 of A257740.
Cf. A320206.
Sequence in context: A279275 A097425 A320206 * A233429 A121577 A250609
Adjacent sequences: A320212 A320213 A320214 * A320216 A320217 A320218
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KEYWORD
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nonn
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AUTHOR
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Alois P. Heinz, Oct 07 2018
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STATUS
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approved
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