OFFSET
1,2
COMMENTS
This sequence can be seen as a generalization of A233744 which is the particular case where minimum subset cardinality is 2 (k=2).
T(n,k) / A004736(n,k)! = 1 + 1 / ( A002024(n,k) - A002260(n,k) + 1) * (Sum of (T(n,p) / A004736(n,p)!) for p starting at A002260(n,k) up to A002024(n) - A002260(n) if 2 * A002260(n) <= A002024(n)).
The triangle below but including the diagonal is A166350 because there is only one possible partition of subsets of cardinality >= k in any set whose cardinality is between k and 2*k-1.
LINKS
Martin Y. Champel, Table of n, a(n) for n = 1..10000
EXAMPLE
The triangle T(n, k) starts:
n\k 1 2 3 4 5 6 ...
1: 1
2: 3 1
3: 11 2 1
4: 50 8 2 1
5: 274 36 6 2 1
6:1764 200 36 6 2 1
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Martin Y. Champel, Apr 03 2015
STATUS
approved