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A320206
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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.
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3
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501, 9945, 121710, 1185360, 10096795, 78808600, 578849355, 4067705855, 27649153955, 183168119565, 1189058740200, 7593928600995, 47855567247145, 298255270385350, 1841612720379730, 11281413505991390, 68637389125392080, 415119249476398580, 2497526622600665470
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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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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);
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CROSSREFS
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Column k=5 of A319501.
Cf. A320215.
Sequence in context: A239046 A279275 A097425 * A320215 A233429 A121577
Adjacent sequences: A320203 A320204 A320205 * A320207 A320208 A320209
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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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