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%I #6 Aug 06 2021 15:15:25
%S 4140,21147,66491,168938,373832,752681,1413937,2516880,4288933,
%T 7051043,11247965,17485725,26581264,39621636,58039748,83708561,
%U 119053483,167190888,232099972,318825211,433724509,584768196,781893879,1037430804,1366607287,1788149627
%N Number of partitions of the (n+8)-multiset {0,...,0,1,2,...,8} with n 0's into distinct multisets.
%C Also number of factorizations of 2^n * Product_{i=1..8} prime(i+1) into distinct factors.
%H Alois P. Heinz, <a href="/A346828/b346828.txt">Table of n, a(n) for n = 0..10000</a>
%Y Column k=8 of A346520.
%Y Cf. A346861.
%K nonn
%O 0,1
%A _Alois P. Heinz_, Aug 05 2021
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