A271756 Number of set partitions of [n+5] such that n is the largest element of the last block.

0, 1, 34, 375, 3149, 24190, 181265, 1362669, 10419024, 81602489, 657087105, 5449808144, 46591975883, 410650926413, 3730465450474, 34912477523059, 336408561147777, 3335270965246766, 33998967702498997, 356088425256135353, 3829087912372677696

Offset

1,3

Links

Alois P. Heinz, Table of n, a(n) for n = 1..572

Wikipedia, Partition of a set

Formula

a(n) = A271466(n+5,n).

Example

a(3) = 34: 1245678|3, 145678|23, 145678|2|3, 14567|28|3, 14568|27|3, 1456|278|3, 14578|26|3, 1457|268|3, 1458|267|3, 145|2678|3, 14678|25|3, 1467|258|3, 1468|257|3, 146|2578|3, 1478|256|3, 147|2568|3, 148|2567|3, 14|25678|3, 15678|24|3, 1567|248|3, 1568|247|3, 156|2478|3, 1578|246|3, 157|2468|3, 158|2467|3, 15|24678|3, 1678|245|3, 167|2458|3, 168|2457|3, 16|24578|3, 178|2456|3, 17|24568|3, 18|24567|3, 1|245678|3.

Crossrefs

A diagonal of A271466.

Sequence in context: A296833 A202413 A168122 * A228995 A135243 A283227

Adjacent sequences: A271753 A271754 A271755 * A271757 A271758 A271759

Keyword

nonn

Author

Alois P. Heinz, Apr 13 2016

Status

approved