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%I #6 Aug 06 2021 15:17:11
%S 203,877,2407,5516,11147,20739,36332,60727,97666,152237,231164,343173,
%T 499604,714931,1007585,1400910,1924105,2613514,3514300,4682017,
%U 6184837,8106095,10547063,13630338,17503905,22345618,28368542,35827240,45024773,56320882,70141666
%N Number of partitions of the (n+6)-multiset {0,...,0,1,2,...,6} with n 0's into distinct multisets.
%C Also number of factorizations of 2^n * Product_{i=1..6} prime(i+1) into distinct factors.
%H Alois P. Heinz, <a href="/A346826/b346826.txt">Table of n, a(n) for n = 0..10000</a>
%Y Column k=6 of A346520.
%Y Cf. A346859.
%K nonn
%O 0,1
%A _Alois P. Heinz_, Aug 05 2021
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