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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. 3

%I #5 Oct 07 2018 14:55:58

%S 58941091,4143348470,162731313045,4718107140980,112729591991185,

%T 2351902614090062,44373396691290660,774761803780874980,

%U 12721776529833584465,198768703664184994530,2981185419002290273673,43212794112241851734090,608596903477972496493095

%N 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.

%H Alois P. Heinz, <a href="/A320220/b320220.txt">Table of n, a(n) for n = 10..975</a>

%p b:= proc(n, k) option remember; `if`(n=0, 1, add(add(

%p d*k^d, d=numtheory[divisors](j))*b(n-j, k), j=1..n)/n)

%p end:

%p a:= n-> (k-> add(b(n, k-i)*(-1)^i*binomial(k, i), i=0..k))(10):

%p seq(a(n), n=10..25);

%Y Column k=10 of A257740.

%Y Cf. A320211.

%K nonn

%O 10,1

%A _Alois P. Heinz_, Oct 07 2018

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)