A346827 - OEIS

%I #6 Aug 06 2021 15:16:34

%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