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%I #6 Aug 06 2021 15:15:03
%S 4140,21147,70631,190085,448603,963913,1933171,3670878,6670707,
%T 11685834,19847703,32821290,53029043,83938675,130463751,199483466,
%U 300542475,446752066,655986888,952410996,1368472998,1947439090,2746654015,3841656381,5331426986,7344961489
%N Number of partitions of the (n+8)-multiset {0,...,0,1,2,...,8} with n 0's.
%C Also number of factorizations of 2^n * Product_{i=1..8} prime(i+1).
%H Alois P. Heinz, <a href="/A346861/b346861.txt">Table of n, a(n) for n = 0..10000</a>
%Y Column k=8 of A346426.
%Y Cf. A346828.
%K nonn
%O 0,1
%A _Alois P. Heinz_, Aug 06 2021
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