A320216 Number of multisets of nonempty words with a total of n letters over senary alphabet such that all letters occur at least once in the multiset.

4051, 114402, 1918083, 24917060, 277491084, 2788377264, 26047147641, 230519395506, 1957678084920, 16097696173138, 129006208397535, 1012503732847524, 7811457988379140, 59410698772806630, 446452429135687776, 3320813986603421328, 24485059125388934799

Offset

6,1

Links

Alois P. Heinz, Table of n, a(n) for n = 6..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))(6):
seq(a(n), n=6..25);

Crossrefs

Column k=6 of A257740.

Cf. A320207.

Sequence in context: A035782 A108006 A320207 * A246801 A020430 A163010

Adjacent sequences: A320213 A320214 A320215 * A320217 A320218 A320219

Keyword

nonn

Author

Alois P. Heinz, Oct 07 2018

Status

approved