%I
%S 877,4140,12205,29505,62505,121141,220000,379831,629346,1008217,
%T 1570176,2386768,3552623,5191184,7462348,10571795,14781494,20422834,
%U 27913093,37773674,50653017,67353802,88864364,116396162,151428441,195759851,251569301,321487585
%N Number of partitions of the (n+7)multiset {0,...,0,1,2,...,7} with n 0's into distinct multisets.
%C Also number of factorizations of 2^n * Product_{i=1..7} prime(i+1) into distinct factors.
%H Alois P. Heinz, <a href="/A346827/b346827.txt">Table of n, a(n) for n = 0..10000</a>
%Y Column k=7 of A346520.
%Y Cf. A346860.
%K nonn
%O 0,1
%A _Alois P. Heinz_, Aug 05 2021
