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A320218
Number of multisets of nonempty words with a total of n letters over octonary alphabet such that all letters occur at least once in the multiset.
3
394353, 18536744, 498516252, 10092149744, 171141602198, 2569517304288, 35303763087512, 453509029790240, 5527943088161719, 64619198312435832, 730123641203028584, 8021699561768649792, 86097120229812852336, 906057856878889742408, 9376575130404097999848
OFFSET
8,1
LINKS
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))(8):
seq(a(n), n=8..25);
CROSSREFS
Column k=8 of A257740.
Cf. A320209.
Sequence in context: A171439 A210162 A320209 * A230792 A131277 A250453
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Oct 07 2018
STATUS
approved