A346817 - OEIS

%I #6 Aug 06 2021 15:32:04

%S 5,19,80,372,1887,10340,60727,379831,2516880,17590607,129185101,

%T 993686245,7982964121,66815548603,581342199992,5247733142922,

%U 49060074341483,474248427057490,4733396660516715,48713824251499499,516315132698019888,5629552607340558361

%N Number of partitions of the (n+7)-multiset {0,...,0,1,2,...,n} with seven 0's into distinct multisets.

%C Also number of factorizations of 2^7 * Product_{i=1..n} prime(i+1) into distinct factors.

%H Alois P. Heinz, <a href="/A346817/b346817.txt">Table of n, a(n) for n = 0..571</a>

%Y Row n=7 of A346520.

%Y Cf. A346853.

%K nonn

%O 0,1

%A _Alois P. Heinz_, Aug 05 2021