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%I #7 Aug 06 2021 15:34:29
%S 7,19,64,250,1098,5317,28009,158926,963913,6211190,42309103,303388298,
%T 2282055551,17950884133,147271359890,1257195981186,11143814730044,
%U 102376602296871,973137213352285,9556384509085448,96818497703286895,1010691906511682642
%N Number of partitions of the (n+5)-multiset {0,...,0,1,2,...,n} with five 0's.
%C Also number of factorizations of 32 * Product_{i=1..n} prime(i+1).
%H Alois P. Heinz, <a href="/A346851/b346851.txt">Table of n, a(n) for n = 0..572</a>
%Y Row n=5 of A346426.
%Y Cf. A346815.
%K nonn
%O 0,1
%A _Alois P. Heinz_, Aug 06 2021