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%I #6 Aug 06 2021 15:30:43
%S 6,25,111,539,2840,16108,97666,629346,4288933,30783302,231866151,
%T 1827144328,15022671954,128565441698,1142833748894,10531721116527,
%U 100445595744363,989932688616905,10067279775369776,105509453248128215,1138230916526434434,12625732251179554692
%N Number of partitions of the (n+8)-multiset {0,...,0,1,2,...,n} with eight 0's into distinct multisets.
%C Also number of factorizations of 2^8 * Product_{i=1..n} prime(i+1) into distinct factors.
%H Alois P. Heinz, <a href="/A346818/b346818.txt">Table of n, a(n) for n = 0..570</a>
%Y Row n=8 of A346520.
%Y Cf. A346854.
%K nonn
%O 0,1
%A _Alois P. Heinz_, Aug 05 2021
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