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

Author

Alois P. Heinz, Apr 13 2016

Keywords

• nonn

Examples

			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.
		

Links

• Alois P. Heinz, Table of n, a(n) for n = 1..572
• Wikipedia, Partition of a set

Crossrefs

A diagonal of A271466.

Formula

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