%I #6 Aug 06 2021 14:52:55
%S 4140,12205,38043,124997,431636,1562071,5908978,23308546,95668354,
%T 737478487,5925731200,49529882252,429847685540,3866676841971,
%U 35995751664262,346276922869607,3437740821764782,35177332904077806,370591861751924418,4015236045220697989
%N Number of partitions of the (n+8)-multiset {1,2,...,n,1,2,...,8} into distinct multisets.
%C Also number of factorizations of Product_{i=1..n} prime(i) * Product_{i=1..8} prime(i) into distinct factors.
%H Alois P. Heinz, <a href="/A346901/b346901.txt">Table of n, a(n) for n = 0..569</a>
%Y Column (or row) k=8 of A346517.
%Y Cf. A346885.
%K nonn
%O 0,1
%A _Alois P. Heinz_, Aug 06 2021