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%I #8 Aug 06 2021 14:56:54
%S 52,120,299,801,2295,6995,40043,243235,1562071,10569612,75114998,
%T 559057663,4346341361,35213909313,296696424975,2594712611306,
%U 23512150424424,220412149622759,2134476336680003,21324751529837231,219524646452224135,2325946109640859828
%N Number of partitions of the (n+5)-multiset {1,2,...,n,1,2,...,5} into distinct multisets.
%C Also number of factorizations of Product_{i=1..n} prime(i) * Product_{i=1..5} prime(i) into distinct factors.
%H Alois P. Heinz, <a href="/A346898/b346898.txt">Table of n, a(n) for n = 0..572</a>
%Y Column (or row) k=5 of A346517.
%Y Cf. A346882.
%K nonn
%O 0,1
%A _Alois P. Heinz_, Aug 06 2021
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