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%I #6 Aug 06 2021 15:17:35
%S 203,877,2610,6393,13960,28009,52902,95129,164528,275375,448391,
%T 712800,1109913,1696713,2551726,3781537,5530232,7990242,11417770,
%U 16150412,22631546,31438820,43321938,59247482,80457475,108538460,145510420,193932620,257037132,338888022
%N Number of partitions of the (n+6)-multiset {0,...,0,1,2,...,6} with n 0's.
%C Also number of factorizations of 2^n * Product_{i=1..6} prime(i+1).
%H Alois P. Heinz, <a href="/A346859/b346859.txt">Table of n, a(n) for n = 0..10000</a>
%Y Column k=6 of A346426.
%Y Cf. A346826.
%K nonn
%O 0,1
%A _Alois P. Heinz_, Aug 06 2021
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