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

0,3

Links

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

Formula

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

Example

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]}.

Crossrefs

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

Sequence in context: A149353 A149354 A197659 * A292287 A003444 A220881

Adjacent sequences: A360465 A360466 A360467 * A360469 A360470 A360471

Keyword

nonn

Author

Alois P. Heinz, Feb 17 2023

Status

approved