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
Keywords
Examples
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.
Links
- Alois P. Heinz, Table of n, a(n) for n = 1..573
- Wikipedia, Partition of a set
Crossrefs
A diagonal of A271466.
Formula
a(n) = A271466(n+4,n).