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%I #7 Aug 06 2021 14:58:07
%S 15,31,70,172,457,2295,12347,70843,431636,2781372,18885177,134670425,
%T 1005626319,7842880313,63733789544,538521313772,4722239916109,
%U 42899823779887,403127907995427,3912789622898471,39175487045290456,404110470650751416,4290001467563698869
%N Number of partitions of the (n+4)-multiset {1,2,...,n,1,2,3,4} into distinct multisets.
%C Also number of factorizations of Product_{i=1..n} prime(i) * Product_{i=1..4} prime(i) into distinct factors.
%H Alois P. Heinz, <a href="/A346897/b346897.txt">Table of n, a(n) for n = 0..572</a>
%Y Column (or row) k=4 of A346517.
%Y Cf. A346881.
%K nonn
%O 0,1
%A _Alois P. Heinz_, Aug 06 2021
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