A346900 - OEIS

%I #6 Aug 06 2021 14:54:09

%S 877,2407,7023,21709,70843,243235,875936,3299218,23308546,172449180,

%T 1332875540,10737968536,89983139114,782862305856,7059006496410,

%U 65863933456646,634989019444140,6317110311404960,64769247847559306,683631842962754366,7420272485570265946

%N Number of partitions of the (n+7)-multiset {1,2,...,n,1,2,...,7} into distinct multisets.

%C Also number of factorizations of Product_{i=1..n} prime(i) * Product_{i=1..7} prime(i) into distinct factors.

%H Alois P. Heinz, <a href="/A346900/b346900.txt">Table of n, a(n) for n = 0..570</a>

%Y Column (or row) k=7 of A346517.

%Y Cf. A346884.

%K nonn

%O 0,1

%A _Alois P. Heinz_, Aug 06 2021