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Number of partitions of the (n+8)-multiset {1,2,...,n,1,2,...,8} into distinct multisets.
3

%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