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%I #6 Aug 06 2021 15:18:14
%S 52,203,566,1315,2752,5317,9722,16972,28582,46677,74304,115643,176551,
%T 264909,391463,570530,821244,1168733,1646113,2296362,3175362,4354962,
%U 5927481,8010519,10753793,14346412,19026984,25094750,32924339,42982320,55848839,72241875
%N Number of partitions of the (n+5)-multiset {0,...,0,1,2,...,5} with n 0's.
%C Also number of factorizations of 2^n * Product_{i=1..5} prime(i+1).
%H Alois P. Heinz, <a href="/A346858/b346858.txt">Table of n, a(n) for n = 0..10000</a>
%Y Column k=5 of A346426.
%Y Cf. A346825.
%K nonn
%O 0,1
%A _Alois P. Heinz_, Aug 06 2021
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