cp's OEIS Frontend

A346816 Number of partitions of the (n+6)-multiset {0,...,0,1,2,...,n} with six 0's into distinct multisets.

%I A346816 #6 Aug 06 2021 15:33:14
%S A346816 4,14,56,249,1213,6404,36332,220000,1413937,9600364,68592684,
%T A346816 513952699,4026607292,32900195138,279706376058,2469224186643,
%U A346816 22592983270903,213904411529522,2092395705495048,21117781135309376,219627058223237983,2351003452644642314
%N A346816 Number of partitions of the (n+6)-multiset {0,...,0,1,2,...,n} with six 0's into distinct multisets.
%C A346816 Also number of factorizations of 2^6 * Product_{i=1..n} prime(i+1) into distinct factors.
%H A346816 Alois P. Heinz, <a href="/A346816/b346816.txt">Table of n, a(n) for n = 0..571</a>
%Y A346816 Row n=6 of A346520.
%Y A346816 Cf. A346852.
%K A346816 nonn
%O A346816 0,1
%A A346816 _Alois P. Heinz_, Aug 05 2021