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%I #11 Feb 18 2023 16:01:26
%S 1,1,3,10,30,94,287,854,2501,7222,20502,57412,158678,433204,1169274,
%T 3122747,8256669,21627238,56150750,144570308,369288160,936246670,
%U 2356750215,5892267672,14636329019,36131588682,88667056302,216353770900,525040244748,1267473283199
%N Number of sets of nonempty integer partitions with a total of n parts and total sum of 2n.
%H Alois P. Heinz, <a href="/A360714/b360714.txt">Table of n, a(n) for n = 0..200</a>
%F a(n) = A360742(2n,n).
%e a(3) = 10: {[1,1,4]}, {[1,2,3]}, {[2,2,2]}, {[1],[1,4]}, {[1],[2,3]}, {[2],[1,3]}, {[2],[2,2]}, {[3],[1,2]}, {[4],[1,1]}, {[1],[2],[3]}.
%Y Cf. A360468 (the same for multisets), A360742.
%K nonn
%O 0,3
%A _Alois P. Heinz_, Feb 17 2023
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