%I #6 Apr 13 2016 14:50:12
%S 0,1,6,29,139,692,3627,20085,117488,724731,4703699,32043002,228572813,
%T 1703454469,13235230990,106997762361,898404819935,7821618182572,
%U 70498093658879,656892909516441,6319385054660256,62688326727955007,640525850674446471,6733883466256420010
%N Number of set partitions of [n+2] such that n is the largest element of the last block.
%H Alois P. Heinz, <a href="/A271753/b271753.txt">Table of n, a(n) for n = 1..575</a>
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Partition_of_a_set">Partition of a set</a>
%F a(n) = A271466(n+2,n).
%e a(3) = 6: 1245|3, 145|23, 145|2|3, 14|25|3, 15|24|3, 1|245|3.
%e a(4) = 29: 12356|4, 1256|34, 1256|3|4, 125|36|4, 126|35|4, 12|356|4, 1356|24, 1356|2|4, 135|26|4, 136|25|4, 13|256|4, 156|234, 156|23|4, 15|236|4, 16|235|4, 1|2356|4, 156|2|34, 15|26|34, 16|25|34, 1|256|34, 156|2|3|4, 15|26|3|4, 15|2|36|4, 16|25|3|4, 1|256|3|4, 1|25|36|4, 16|2|35|4, 1|26|35|4, 1|2|356|4.
%Y A diagonal of A271466.
%K nonn
%O 1,3
%A _Alois P. Heinz_, Apr 13 2016