OFFSET

0,2

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.

EXAMPLE

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

KEYWORD

more,nonn,tabf

AUTHOR

Franklin T. Adams-Watters, Jan 05 2007

STATUS

approved