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

0,3

Links

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

Formula

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

Example

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]}.

Crossrefs

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

Sequence in context: A062107 A269800 A033113 * A290718 A300421 A302289

Adjacent sequences: A360711 A360712 A360713 * A360715 A360716 A360717

Keyword

nonn

Author

Alois P. Heinz, Feb 17 2023

Status

approved