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Number of partitions of the (n+10)-multiset {0,...,0,1,2,...,n} with ten 0's into distinct multisets.
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%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