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A346819 Number of partitions of the (n+9)-multiset {0,...,0,1,2,...,n} with nine 0's into distinct multisets.

%I A346819 #6 Aug 06 2021 15:29:24
%S A346819 8,33,152,765,4168,24388,152237,1008217,7051043,51867573,399944924,
%T A346819 3223137761,27077165245,236578489448,2145390324808,20155783166266,
%U A346819 195856002789973,1965470860206940,20342086564540774,216860601575057306,2378610709552090677
%N A346819 Number of partitions of the (n+9)-multiset {0,...,0,1,2,...,n} with nine 0's into distinct multisets.
%C A346819 Also number of factorizations of 2^9 * Product_{i=1..n} prime(i+1) into distinct factors.
%H A346819 Alois P. Heinz, <a href="/A346819/b346819.txt">Table of n, a(n) for n = 0..569</a>
%Y A346819 Row n=9 of A346520.
%Y A346819 Cf. A346855.
%K A346819 nonn
%O A346819 0,1
%A A346819 _Alois P. Heinz_, Aug 05 2021