%I #3 Mar 30 2012 17:35:17
%S 1,3,4,8,4,19,18,4,20,14,64,38
%N Row limit of A127121.
%C 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.
%e 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.
%e The triangle starts:
%e 1
%e 3
%e 4 8
%e 4 19 18
%e 4 20 14 64 38
%K more,nonn,tabf
%O 0,2
%A _Franklin T. Adams-Watters_, Jan 05 2007
|