%I #6 Aug 06 2021 15:28:07
%S 42,139,562,2593,13285,74304,448391,2894201,19847703,143835137,
%T 1096662664,8764456134,73189589547,636885970213,5761393880423,
%U 54067289148011,525377389927629,5277291236749488,54713982758644746,584707936871699621,6432673787847769686
%N Number of partitions of the (n+10)-multiset {0,...,0,1,2,...,n} with ten 0's.
%C Also number of factorizations of 2^10 * Product_{i=1..n} prime(i+1).
%H Alois P. Heinz, <a href="/A346856/b346856.txt">Table of n, a(n) for n = 0..569</a>
%Y Row n=10 of A346426.
%Y Cf. A346820.
%K nonn
%O 0,1
%A _Alois P. Heinz_, Aug 06 2021
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