A320220 Number of multisets of nonempty words with a total of n letters over denary alphabet such that all letters occur at least once in the multiset.

58941091, 4143348470, 162731313045, 4718107140980, 112729591991185, 2351902614090062, 44373396691290660, 774761803780874980, 12721776529833584465, 198768703664184994530, 2981185419002290273673, 43212794112241851734090, 608596903477972496493095

Offset

10,1

Links

Alois P. Heinz, Table of n, a(n) for n = 10..975

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))(10):
seq(a(n), n=10..25);

Crossrefs

Column k=10 of A257740.

Cf. A320211.

Sequence in context: A015355 A321496 A320211 * A034644 A269925 A288281

Adjacent sequences: A320217 A320218 A320219 * A320221 A320222 A320223

Keyword

nonn

Author

Alois P. Heinz, Oct 07 2018

Status

approved