A346816 - OEIS

%I #6 Aug 06 2021 15:33:14

%S 4,14,56,249,1213,6404,36332,220000,1413937,9600364,68592684,

%T 513952699,4026607292,32900195138,279706376058,2469224186643,

%U 22592983270903,213904411529522,2092395705495048,21117781135309376,219627058223237983,2351003452644642314

%N Number of partitions of the (n+6)-multiset {0,...,0,1,2,...,n} with six 0's into distinct multisets.

%C Also number of factorizations of 2^6 * Product_{i=1..n} prime(i+1) into distinct factors.

%H Alois P. Heinz, <a href="/A346816/b346816.txt">Table of n, a(n) for n = 0..571</a>

%Y Row n=6 of A346520.

%Y Cf. A346852.

%K nonn

%O 0,1

%A _Alois P. Heinz_, Aug 05 2021