A127122 Row limit of A127121.

1, 3, 4, 8, 4, 19, 18, 4, 20, 14, 64, 38

Offset: 0

Author

Franklin T. Adams-Watters, Jan 05 2007

Keywords

• more
• nonn
• tabf

Comments

Function for a partition P with maximum part size k, the number of endofunctions with indegree partition P + [m] for any m > k. Larger values of m just add additional points with empty preimage that map to the element with indegree m. Partitions are in Mathematica order.

Examples

			The fifth partition in Mathematica order is [2,1]. The number of endofunctions with indegree partitions [3,2,1] is 19 (likewise for [4,2,1], [5,2,1], etc.), so a(5) = 19.
The triangle starts:
1
3
4 8
4 19 18
4 20 14 64 38
		

Crossrefs

Cf. A127121.