A271755 Number of set partitions of [n+4] such that n is the largest element of the last block.

0, 1, 18, 149, 1039, 6932, 46299, 315597, 2215148, 16075611, 120829511, 941052026, 7592454845, 63417026389, 547926762922, 4892438131137, 45101313988931, 428831073340204, 4201412824028351, 42374784500354529, 439570765566102348, 4685781221854745135

Offset

1,3

Links

Alois P. Heinz, Table of n, a(n) for n = 1..573

Wikipedia, Partition of a set

Formula

a(n) = A271466(n+4,n).

Example

a(3) = 18: 124567|3, 14567|23, 14567|2|3, 1456|27|3, 1457|26|3, 145|267|3, 1467|25|3, 146|257|3, 147|256|3, 14|2567|3, 1567|24|3, 156|247|3, 157|246|3, 15|2467|3, 167|245|3, 16|2457|3, 17|2456|3, 1|24567|3.

Crossrefs

A diagonal of A271466.

Sequence in context: A247741 A224329 A221352 * A197214 A027182 A294486

Adjacent sequences: A271752 A271753 A271754 * A271756 A271757 A271758

Keyword

nonn

Author

Alois P. Heinz, Apr 13 2016

Status

approved