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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.
3
4051, 114402, 1918083, 24917060, 277491084, 2788377264, 26047147641, 230519395506, 1957678084920, 16097696173138, 129006208397535, 1012503732847524, 7811457988379140, 59410698772806630, 446452429135687776, 3320813986603421328, 24485059125388934799
OFFSET
6,1
LINKS
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
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Oct 07 2018
STATUS
approved