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A346829 Number of partitions of the (n+9)-multiset {0,...,0,1,2,...,9} with n 0's into distinct multisets. 3

%I

%S 21147,115975,386699,1029271,2372061,4949969,9600364,17590607,

%T 30783302,51867573,84653400,134445843,208534572,316803912,472510394,

%U 693262224,1002224767,1429615467,2014562139,2807357978,3872227935,5290698101,7165662241,9626288297,12833928706

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

%C Also number of factorizations of 2^n * Product_{i=1..9} prime(i+1) into distinct factors.

%H Alois P. Heinz, <a href="/A346829/b346829.txt">Table of n, a(n) for n = 0..10000</a>

%Y Column k=9 of A346520.

%Y Cf. A346862.

%K nonn

%O 0,1

%A _Alois P. Heinz_, Aug 05 2021

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Last modified May 16 20:11 EDT 2022. Contains 353720 sequences. (Running on oeis4.)