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%I #6 Aug 06 2021 15:36:02
%S 2,7,25,100,442,2134,11147,62505,373832,2372061,15896786,112087787,
%T 828764232,6407210143,51661121427,433442672918,3776529680114,
%U 34108004916520,318791092171365,3078872979139965,30684482469719642,315168093997478339,3332424923926530990
%N Number of partitions of the (n+4)-multiset {0,0,0,0,1,2,...,n} into distinct multisets.
%C Also number of factorizations of 16 * Product_{i=1..n} prime(i+1) into distinct factors.
%H Alois P. Heinz, <a href="/A346814/b346814.txt">Table of n, a(n) for n = 0..572</a>
%Y Row n=4 of A346520.
%Y Cf. A169588.
%K nonn
%O 0,1
%A _Alois P. Heinz_, Aug 05 2021
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