%I #6 Aug 06 2021 15:28:14
%S 10,43,205,1066,5988,36052,231164,1570176,11247965,84653400,667168482,
%T 5490444397,47062089729,419239463176,3873647216453,37057205796114,
%U 366456723771549,3740565770881821,39358576699041991,426383570139629695,4750448584867131001
%N Number of partitions of the (n+10)-multiset {0,...,0,1,2,...,n} with ten 0's into distinct multisets.
%C Also number of factorizations of 2^10 * Product_{i=1..n} prime(i+1) into distinct factors.
%H Alois P. Heinz, <a href="/A346820/b346820.txt">Table of n, a(n) for n = 0..569</a>
%Y Row n=10 of A346520.
%Y Cf. A346856.
%K nonn
%O 0,1
%A _Alois P. Heinz_, Aug 05 2021