A360714 Number of sets of nonempty integer partitions with a total of n parts and total sum of 2n.

1, 1, 3, 10, 30, 94, 287, 854, 2501, 7222, 20502, 57412, 158678, 433204, 1169274, 3122747, 8256669, 21627238, 56150750, 144570308, 369288160, 936246670, 2356750215, 5892267672, 14636329019, 36131588682, 88667056302, 216353770900, 525040244748, 1267473283199

Offset: 0

Author

Alois P. Heinz, Feb 17 2023

Keywords

• nonn

Examples

			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]}.
		

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..200

Crossrefs

Cf. A360468 (the same for multisets), A360742.

Formula

a(n) = A360742(2n,n).