login
A360468
Number of multisets of nonempty integer partitions with a total of n parts and total sum of 2n.
3
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
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
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Feb 17 2023
STATUS
approved