A320206 Number of sets of nonempty words with a total of n letters over quinary alphabet such that all letters occur at least once in the set.

501, 9945, 121710, 1185360, 10096795, 78808600, 578849355, 4067705855, 27649153955, 183168119565, 1189058740200, 7593928600995, 47855567247145, 298255270385350, 1841612720379730, 11281413505991390, 68637389125392080, 415119249476398580, 2497526622600665470

Offset: 5

Author

Alois P. Heinz, Oct 07 2018

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 5..1000

Crossrefs

Column k=5 of A319501.

Cf. A320215.

Programs

Maple

h:= proc(n, i, k) option remember; `if`(n=0, 1, `if`(i<1, 0,
      add(h(n-i*j, i-1, k)*binomial(k^i, j), j=0..n/i)))
    end:
a:= n-> (k-> add((-1)^i*binomial(k, i)*h(n$2, k-i), i=0..k))(5):
seq(a(n), n=5..25);