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%I #6 Aug 06 2021 14:53:39
%S 877,2610,8155,26683,91226,325269,1207433,4659138,31638625,226700129,
%T 1706405350,13444776915,110551467873,946239709234,8411911367949,
%U 77516031008215,739149177177058,7281732769622257,74008803391105733,775028854348141814,8352686346980388993
%N Number of partitions of the (n+7)-multiset {1,2,...,n,1,2,...,7}.
%C Also number of factorizations of Product_{i=1..n} prime(i) * Product_{i=1..7} prime(i).
%H Alois P. Heinz, <a href="/A346884/b346884.txt">Table of n, a(n) for n = 0..570</a>
%Y Column (or row) k=7 of A346500.
%Y Cf. A346900.
%K nonn
%O 0,1
%A _Alois P. Heinz_, Aug 06 2021