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A320209
Number of sets of nonempty words with a total of n letters over octonary alphabet such that all letters occur at least once in the set.
3
394353, 18235680, 484092688, 9697863856, 163046201132, 2430540970008, 33194557467204, 424251626739144, 5148887208055692, 59963231946871288, 675318621308265328, 7398542789316786184, 79210967706138213860, 831754864387299725168, 8590788276593760698232
OFFSET
8,1
LINKS
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))(8):
seq(a(n), n=8..25);
CROSSREFS
Column k=8 of A319501.
Cf. A320218.
Sequence in context: A204628 A171439 A210162 * A320218 A230792 A131277
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Oct 07 2018
STATUS
approved