%I #6 Aug 06 2021 15:31:57
%S 15,45,165,696,3281,16972,95129,572402,3670878,24947043,178812542,
%T 1346450836,10615403987,87372899947,748880541151,6669235464674,
%U 61589598614335,588758112457852,5816628899785745,59303810671002372,623158622145920252,6740560881383009077
%N Number of partitions of the (n+7)-multiset {0,...,0,1,2,...,n} with seven 0's.
%C Also number of factorizations of 2^7 * Product_{i=1..n} prime(i+1).
%H Alois P. Heinz, <a href="/A346853/b346853.txt">Table of n, a(n) for n = 0..571</a>
%Y Row n=7 of A346426.
%Y Cf. A346817.
%K nonn
%O 0,1
%A _Alois P. Heinz_, Aug 06 2021