A346899 - OEIS

%I #6 Aug 06 2021 14:55:27

%S 203,514,1393,4025,12347,40043,136771,875936,5908978,41862462,

%T 310606617,2407527172,19449364539,163419459850,1425408016084,

%U 12884224833364,120496112842571,1164268932225644,11607009161248659,119245195695018868,1261021161600404210

%N Number of partitions of the (n+6)-multiset {1,2,...,n,1,2,...,6} into distinct multisets.

%C Also number of factorizations of Product_{i=1..n} prime(i) * Product_{i=1..6} prime(i) into distinct factors.

%H Alois P. Heinz, <a href="/A346899/b346899.txt">Table of n, a(n) for n = 0..571</a>

%Y Column (or row) k=6 of A346517.

%Y Cf. A346883.

%K nonn

%O 0,1

%A _Alois P. Heinz_, Aug 06 2021