A320217 Number of multisets of nonempty words with a total of n letters over septenary alphabet such that all letters occur at least once in the multiset.

37633, 1394414, 30044014, 493609088, 6864854521, 85265606888, 976232236182, 10515038040403, 108038163343516, 1069407324384749, 10272179741315583, 96275040557582796, 884152621318502522, 7982464409593829883, 71036604818774830215, 624423552992566806913

Offset

7,1

Links

Alois P. Heinz, Table of n, a(n) for n = 7..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))(7):
seq(a(n), n=7..25);

Crossrefs

Column k=7 of A257740.

Cf. A320208.

Sequence in context: A092682 A236122 A320208 * A236883 A048526 A190320

Adjacent sequences: A320214 A320215 A320216 * A320218 A320219 A320220

Keyword

nonn

Author

Alois P. Heinz, Oct 07 2018

Status

approved