A360468 Number of multisets of nonempty integer partitions with a total of n parts and total sum of 2n.

1, 1, 4, 12, 43, 134, 448, 1387, 4347, 13128, 39350, 115285, 334179, 952512, 2684714, 7468402, 20556838, 55963935, 150896053, 402999801, 1066962557, 2801089402, 7295920768, 18859954024, 48404773852, 123381167011, 312438704848, 786231143489, 1966628476977

Offset: 0

Author

Alois P. Heinz, Feb 17 2023

Keywords

• nonn

Examples

			a(3) = 12: {[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],[1],[4]}, {[1],[2],[3]}, {[2],[2],[2]}.
		

Links

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

Crossrefs

Cf. A000041, A008284, A055884, A072233, A360714 (the same for sets).

Formula

a(n) = A055884(2n,n).