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.

394353, 18536744, 498516252, 10092149744, 171141602198, 2569517304288, 35303763087512, 453509029790240, 5527943088161719, 64619198312435832, 730123641203028584, 8021699561768649792, 86097120229812852336, 906057856878889742408, 9376575130404097999848

Offset

8,1

Links

Alois P. Heinz, Table of n, a(n) for n = 8..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))(8):
seq(a(n), n=8..25);

Crossrefs

Column k=8 of A257740.

Cf. A320209.

Sequence in context: A171439 A210162 A320209 * A230792 A131277 A250453

Adjacent sequences: A320215 A320216 A320217 * A320219 A320220 A320221

Keyword

nonn

Author

Alois P. Heinz, Oct 07 2018

Status

approved