%I #6 Aug 06 2021 14:57:02
%S 52,135,371,1075,3274,10457,56135,325269,2014321,13241402,91914202,
%T 670867539,5130574485,40989058693,341205653979,2952731951176,
%U 26510494023154,246500382677473,2369854608269687,23523121378151405,240746022804236085,2537378601343161682
%N Number of partitions of the (n+5)-multiset {1,2,...,n,1,2,...,5}.
%C Also number of factorizations of Product_{i=1..n} prime(i) * Product_{i=1..5} prime(i).
%H Alois P. Heinz, <a href="/A346882/b346882.txt">Table of n, a(n) for n = 0..571</a>
%Y Column (or row) k=5 of A346500.
%Y Cf. A346898.
%K nonn
%O 0,1
%A _Alois P. Heinz_, Aug 06 2021