A346815 - OEIS

A346815

Number of partitions of the (n+5)-multiset {0,...,0,1,2,...,n} with five 0's into distinct multisets.

%I #6 Aug 06 2021 15:34:39

%S 3,10,38,161,750,3799,20739,121141,752681,4949969,34312195,249798408,

%T 1904026799,15153517600,125621420076,1082409498473,9675240317432,

%U 89561442387221,857209445230483,8471058440432651,86318636142516675,905868823242467245,9779990840117785293

%N Number of partitions of the (n+5)-multiset {0,...,0,1,2,...,n} with five 0's into distinct multisets.

%C Also number of factorizations of 32 * Product_{i=1..n} prime(i+1) into distinct factors.

%H Alois P. Heinz, <a href="/A346815/b346815.txt">Table of n, a(n) for n = 0..572</a>

%Y Row n=5 of A346520.

%Y Cf. A346851.

%K nonn

%O 0,1

%A _Alois P. Heinz_, Aug 05 2021